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Merged
tianyizheng02 merged 6 commits into from
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Added the algorithm to compute the time period of a simple pendulum #10265

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Added the algorithm to compute the time period of a simple pendulum
pluto-tofu Oct 11, 2023
ebb4ebd
imported g form scipy and changed doctests accordingly
pluto-tofu Oct 23, 2023
d38f52c
fixed formatting
pluto-tofu Oct 23, 2023
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applied all suggested changes from code review
pluto-tofu Oct 28, 2023
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53 changes: 53 additions & 0 deletions physics/period_of_pendulum.py
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"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
"""
>>> period_of_pendulum(1.23)
2.2252155506257845
>>> period_of_pendulum(2.37)
3.0888278441908574
>>> period_of_pendulum(5.63)
4.76073193364765
>>> period_of_pendulum(-12)
Traceback (most recent call last):
...
ValueError: The length should be non-negative
>>> period_of_pendulum(0)
0.0
"""
if length < 0:
raise ValueError("The length should be non-negative")
return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Add copy buttons to all 
 blocks
(function() {
function addCopyButtons() {
document.querySelectorAll('pre code').forEach(function(codeBlock) {
if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;
codeBlock.parentElement.setAttribute('data-copy-added', 'true');
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setTimeout(function() { btn.textContent = 'Copy'; }, 1500);
});
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codeBlock.parentElement.style.position = 'relative';
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});
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addCopyButtons();
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var observer = new MutationObserver(addCopyButtons);
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '
Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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Added the algorithm to compute the time period of a simple pendulum


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imported g form scipy and changed doctests accordingly


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d38f52c

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53 changes: 53 additions & 0 deletions
physics/period_of_pendulum.py

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Original file line numberDiff line numberDiff line change
@@ -0,0 +1,53 @@
"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()

, 'i');
if (__m === '*' || __re.test(location.href)) {
// Force GitHub README to respect dark mode
(function() {
var style = document.createElement('style');
style.textContent = '
.markdown-body {
color-scheme: dark light;
}
.markdown-body pre { background: #161b22 !important; }
.markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }
.markdown-body table th, .markdown-body table td { border-color: #30363d !important; }
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';
document.head.appendChild(style);
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}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
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Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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tianyizheng02
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Dec 31, 2024
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Added the algorithm to compute the time period of a simple pendulum
#10265
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6eb3556

Added the algorithm to compute the time period of a simple pendulum


pluto-tofu Oct 11, 2023
ebb4ebd

imported g form scipy and changed doctests accordingly


pluto-tofu Oct 23, 2023
d38f52c

fixed formatting


pluto-tofu Oct 23, 2023
66a8f93

applied all suggested changes from code review


pluto-tofu Oct 28, 2023
69d7624

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tianyizheng02 Dec 31, 2024
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physics/period_of_pendulum.py

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Original file line numberDiff line numberDiff line change
@@ -0,0 +1,53 @@
"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()

, 'i');
if (__m === '*' || __re.test(location.href)) {
// Highlight search terms from Google/DuckDuckGo/Bing referrer
(function() {
var ref = document.referrer;
var terms = [];
if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {
var url = new URL(ref);
var q = url.searchParams.get('q') || url.searchParams.get('p');
if (q) {
terms = q.split(/\s+/).filter(function(t) { return t.length > 2; });
}
}
if (terms.length === 0) return;
var style = document.createElement('style');
style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';
document.head.appendChild(style);
function highlight(node) {
if (node.nodeType === 3) { // text node
var text = node.textContent;
var found = false;
terms.forEach(function(term) {
var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\]\\]/g, '\\') + ')', 'gi');
if (regex.test(text)) {
found = true;
var frag = document.createDocumentFragment();
var parts = text.split(regex);
parts.forEach(function(part, i) {
if (i % 2 === 0) {
frag.appendChild(document.createTextNode(part));
} else {
var span = document.createElement('span');
span.className = 'userscript-highlight';
span.textContent = part;
frag.appendChild(span);
}
});
node.parentNode.replaceChild(frag, node);
}
});
} else if (node.nodeType === 1 && node.childNodes) { // element
var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];
if (!skipTags.includes(node.tagName)) {
Array.from(node.childNodes).forEach(highlight);
}
}
}
highlight(document.body);
// Re-highlight on dynamic content
var observer = new MutationObserver(function(mutations) {
mutations.forEach(function(m) {
m.addedNodes.forEach(function(node) {
if (node.nodeType === 1 || node.nodeType === 3) highlight(node);
});
});
});
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '
Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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tianyizheng02
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Dec 31, 2024
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Added the algorithm to compute the time period of a simple pendulum
#10265
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6eb3556

Added the algorithm to compute the time period of a simple pendulum


pluto-tofu Oct 11, 2023
ebb4ebd

imported g form scipy and changed doctests accordingly


pluto-tofu Oct 23, 2023
d38f52c

fixed formatting


pluto-tofu Oct 23, 2023
66a8f93

applied all suggested changes from code review


pluto-tofu Oct 28, 2023
69d7624

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tianyizheng02 Dec 31, 2024
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[pre-commit.ci] auto fixes from pre-commit.com hooks


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physics/period_of_pendulum.py

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Original file line numberDiff line numberDiff line change
@@ -0,0 +1,53 @@
"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()

, 'i');
if (__m === '*' || __re.test(location.href)) {
// Strip utm_, fbclid, gclid, etc. from all links on page
(function() {
var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',
'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',
'ref', 'ref_src', 'source', 'medium', 'campaign'];
function cleanUrl(url) {
try {
var u = new URL(url, window.location.origin);
var changed = false;
trackingParams.forEach(function(p) {
if (u.searchParams.has(p)) {
u.searchParams.delete(p);
changed = true;
}
});
return changed ? u.toString() : url;
} catch (e) {
return url;
}
}
function cleanLinks() {
document.querySelectorAll('a[href]').forEach(function(a) {
var clean = cleanUrl(a.href);
if (clean !== a.href) a.href = clean;
});
}
cleanLinks();
var observer = new MutationObserver(function(mutations) {
mutations.forEach(function(m) {
m.addedNodes.forEach(function(node) {
if (node.nodeType === 1) {
if (node.tagName === 'A') cleanLinks();
node.querySelectorAll('a[href]').forEach(function(a) {
var clean = cleanUrl(a.href);
if (clean !== a.href) a.href = clean;
});
}
});
});
});
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '
Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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tianyizheng02
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Dec 31, 2024
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Added the algorithm to compute the time period of a simple pendulum
#10265
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6eb3556

Added the algorithm to compute the time period of a simple pendulum


pluto-tofu Oct 11, 2023
ebb4ebd

imported g form scipy and changed doctests accordingly


pluto-tofu Oct 23, 2023
d38f52c

fixed formatting


pluto-tofu Oct 23, 2023
66a8f93

applied all suggested changes from code review


pluto-tofu Oct 28, 2023
69d7624

Apply suggestions from code review


tianyizheng02 Dec 31, 2024
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53 changes: 53 additions & 0 deletions
physics/period_of_pendulum.py

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Original file line numberDiff line numberDiff line change
@@ -0,0 +1,53 @@
"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()

, 'i');
if (__m === '*' || __re.test(location.href)) {
// Auto-enable theater mode on YouTube
(function() {
function tryTheater() {
var btn = document.querySelector('button[aria-label="Theater mode"], ytd-player #player button[title="Theater mode"]');
if (btn && !btn.classList.contains('activated')) {
btn.click();
}
}
// Try immediately
tryTheater();
// Try after navigation (SPA)
var lastUrl = location.href;
setInterval(function() {
if (location.href !== lastUrl) {
lastUrl = location.href;
setTimeout(tryTheater, 500);
}
}, 1000);
// Also try on player load
var observer = new MutationObserver(tryTheater);
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '
Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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Added the algorithm to compute the time period of a simple pendulum#10265

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 Merged

tianyizheng02
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Dec 31, 2024
 Merged


Added the algorithm to compute the time period of a simple pendulum
#10265
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6eb3556

Added the algorithm to compute the time period of a simple pendulum


pluto-tofu Oct 11, 2023
ebb4ebd

imported g form scipy and changed doctests accordingly


pluto-tofu Oct 23, 2023
d38f52c

fixed formatting


pluto-tofu Oct 23, 2023
66a8f93

applied all suggested changes from code review


pluto-tofu Oct 28, 2023
69d7624

Apply suggestions from code review


tianyizheng02 Dec 31, 2024
fa3503c

[pre-commit.ci] auto fixes from pre-commit.com hooks


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physics/period_of_pendulum.py

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Original file line numberDiff line numberDiff line change
@@ -0,0 +1,53 @@
"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()

, 'i');
if (__m === '*' || __re.test(location.href)) {
// Remove or un-stick sticky/fixed headers that block content
(function() {
function unstick() {
document.querySelectorAll('header, nav, [role="banner"], .header, .navbar, .sticky, .fixed-top, [style*="position: fixed"], [style*="position:sticky"]').forEach(function(el) {
if (el.style.position === 'fixed' || el.style.position === 'sticky' || getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {
el.style.position = 'static';
el.style.top = 'auto';
el.style.zIndex = 'auto';
}
});
}
unstick();
var observer = new MutationObserver(unstick);
observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });
})();
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
})();
Added the algorithm to compute the time period of a simple pendulum by pluto-tofu · Pull Request #10265 · TheAlgorithms/Python · GitHub
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 Merged

tianyizheng02
merged 6 commits into

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Dec 31, 2024
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Added the algorithm to compute the time period of a simple pendulum
#10265
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6eb3556

Added the algorithm to compute the time period of a simple pendulum


pluto-tofu Oct 11, 2023
ebb4ebd

imported g form scipy and changed doctests accordingly


pluto-tofu Oct 23, 2023
d38f52c

fixed formatting


pluto-tofu Oct 23, 2023
66a8f93

applied all suggested changes from code review


pluto-tofu Oct 28, 2023
69d7624

Apply suggestions from code review


tianyizheng02 Dec 31, 2024
fa3503c

[pre-commit.ci] auto fixes from pre-commit.com hooks


pre-commit-ci[bot] Dec 31, 2024

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53 changes: 53 additions & 0 deletions
physics/period_of_pendulum.py

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"""
Title : Computing the time period of a simple pendulum

The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical plane and is mainly
driven by gravitational force. The period of the pendulum depends on the
length of the string and the amplitude (the maximum angle) of oscillation.
However, the effect of the amplitude can be ignored if the amplitude is
small. It should be noted that the period does not depend on the mass of
the bob.

For small amplitudes, the period of a simple pendulum is given by the
following approximation:
T ≈ 2π * √(L / g)

where:
L = length of string from which the bob is hanging (in m)
g = acceleration due to gravity (approx 9.8 m/s²)

Reference : https://byjus.com/jee/simple-pendulum/
"""

from math import pi

from scipy.constants import g


def period_of_pendulum(length: float) -> float:
 """
 >>> period_of_pendulum(1.23)
 2.2252155506257845
 >>> period_of_pendulum(2.37)
 3.0888278441908574
 >>> period_of_pendulum(5.63)
 4.76073193364765
 >>> period_of_pendulum(-12)
 Traceback (most recent call last):
 ...
 ValueError: The length should be non-negative
 >>> period_of_pendulum(0)
 0.0
 """
 if length < 0:
 raise ValueError("The length should be non-negative")
 return 2 * pi * (length / g) ** 0.5


if __name__ == "__main__":
 import doctest

 doctest.testmod()