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Yes.
The ideal pendulum consists of a massive bob suspended from a frictionless pivot by a massless string. For small angles the period is given by the formula: t = 2*pi*sqrt(l/g)
However, the formula depends on the assumption that, for the angle of displacement x (measured in radians), sin(x) approximately equals x. For large x the approximation does not hold true and so the formula needs amending.
For x = 0.4 radian, the period is about 1% greater than that given by the unadjusted formula.
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∙ 10y ago
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How does height affect the period of a pendulum?
Height does not affect the period of a pendulum.
Does the angle have an affect on the pendulum?
Yes. The derivation of the simple formula for the period of the pendulum requires the angle, theta (in radians) to be small so that sin(theta) and theta are approximately equal. There are more exact formulae, though.
Which factor affects the period of the pendulum?
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
How does length and initial angle affect the period in a simple pendulum?
The longer the pendulum is, the greater the period of each swing. If you increase the length four times, you will double the period. It is hard to notice, but the period of a pendulum does depend on the angle of oscillation. For small angles, the period is constant and depends only on the length of the pendulum. As the angle of oscillation (amplitude) is increased, additional factors of a Taylor approximation become important. (T=2*pi*sqrt(L/g)[1+theta^2/16+...] and the period increases. (see hyper physics: http://hyperphysics.phy-astr.gsu.edu/hbase/pendl.html) Interestingly, if the pendulum is supported by a very light wire then the mass of the object at the end of the pendulum does not affect the period. Obviously, the greater the mass, the less any air friction or friction at the pivot will slow the pendulum. Also interestingly, the pendulum period is dependant on the force of gravity on the object (g). One must not assume that g is constant for all places on Earth.
How much time it take if the pendulum is relesed at angle 1.75 degrees instead of 3.5 degrees?
The period of the pendulum is unchanged by the angle of swing. See link.
List 3 things that you could changemanipulate about a pendulum?
Adjust the length of the pendulum: Changing the length will alter the period of the pendulum's swing. Adjust the mass of the pendulum bob: Adding or removing weight will affect the pendulum's period. Change the initial angle of release: The angle at which the pendulum is released will impact its amplitude and period.
How does the angle of the bob affect the period of pendullum?
The period of a pendulum is not affected by the angle of the bob. The period depends only on the length of the pendulum and the acceleration due to gravity. The angle of the bob will affect the maximum height the bob reaches, but not the time it takes to complete a full swing.
Does amplitude effect the period of a pendulum?
No, the amplitude of a pendulum (the maximum angle it swings from the vertical) does not affect the period (time taken to complete one full swing) of the pendulum. The period of a pendulum depends only on its length and the acceleration due to gravity.
How does height affect the period of a pendulum?
Height does not affect the period of a pendulum.
What factor has the greatest effect on the period of a pendulum?
The length of the pendulum has the greatest effect on its period. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period. The mass of the pendulum bob and the angle of release also affect the period, but to a lesser extent.
What are the factors that affect the period of a pendulum?
The period of a pendulum is affected by its length, the acceleration due to gravity, and the angle at which it is released. Shorter pendulums have shorter periods, gravity influences the speed of the pendulum's swing, and releasing it from a higher angle increases its period.
What are the 4 main factors that affects the pendulum?
The four main factors that affect a pendulum are its length, mass of the pendulum bob, angle of release, and gravity. These factors determine the period and frequency of the pendulum's oscillations.
Does the angle have an affect on the pendulum?
Yes. The derivation of the simple formula for the period of the pendulum requires the angle, theta (in radians) to be small so that sin(theta) and theta are approximately equal. There are more exact formulae, though.
Which factor affects the period of the pendulum?
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
How does the length affect pendulum in a period?
The period of a pendulum is independent of its length. The period is determined by the acceleration due to gravity and the length of the pendulum does not affect this relationship. However, the period of a pendulum may change if the amplitude of the swing is very wide.
How Does the angle affect the simple pendulum?
The angle at which the simple pendulum is released affects the period of its oscillation. A larger initial angle will produce a longer period as the pendulum swings back and forth. This is because the gravitational force is resolved into two components, one along the path of motion and one perpendicular to it.
Why does the mass of pendulum not affect its period?
The period of a pendulum is influenced by the length of the pendulum and the acceleration due to gravity. The mass of the pendulum does not affect the period because the force of gravity acts on the entire pendulum mass, causing it to accelerate at the same rate regardless of its mass. This means that the mass cancels out in the equation for the period of a pendulum.
