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Why you need to oscillate the pendulum bob to be a small angle in degree?
Wiki User
∙ 11y ago
Because in the derivation of the formula for its period you assume that sin(x) = x. This is true only for small angles x (measured in radians).
Wiki User
∙ 11y ago
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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.
What is the difference in period for a pendulum on earth and a pendulum on moon?
The period of a simple pendulum swinging at a small angle is approximately 2*pi*Sqrt(L/g), where L is the length of the pendulum, and g is acceleration due to gravity. Since gravity on the moon is approximately 1/6 of Earth's gravity, the period of a pendulum on the moon with the same length will be approximately 2.45 times of the same pendulum on the Earth (that's square root of 6).
Why degree of amplitude of simple pendulum should not exceed 5?
wind resistance cannot be ignored in considering a simple pendulum. The wind resistance will be proportional to a higher power of the velocity of the pendulum. A small arc of the pendulum will lessen this effect. You could demonstrate this effect for yourself. A piece of paper attached to the pendulum will add to the wind resistance, and you can measure the period both with and without the paper.
What controls the period of a pendulum?
For a simple pendulum, consisting of a heavy mass suspended by a string with virtually no mass, and a small angle of oscillation, only the length of the pendulum and the force of gravity affect its period. t = 2*pi*sqrt(l/g) where t = time, l = length and g = acceleration due to gravity.
What is the thing inside the right angle?
Your question is a little unclear, but if you mean the small square drawn on the inside corner of a right angle: it is simply a way of showing a 90-degree angle.
Why must a pendulum swing through a small angle?
A pendulum can swing through any angle you want. But because of the mathematical approximations you make when you analyze the motion of the pendulum, your predictions are only accurate for a pendulum with a small arc.
Why should the initial angle of displacement for a simple pendulum be small?
This is done in order to get unbalanced force act on the pendulum. A torque will act due to gravitation of the earth and the tension in the string as they then act at different points and opposite direction on the pendulum. Have the forces act at the same point, the formation of torque would have been ruled out and the pendulum would not swing.
Would you keep the amplitude of simple pendulum small or large?
we should keep the amplitude of simple pendulum small because we have to make a very small angle so that we can neglecting value of sin
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.
What 3 variables that might affect the number of cycles the pendulum makes in 15 seconds?
The length of the pendulum, the angular displacement of the pendulum and the force of gravity. The displacement can have a significant effect if it is not through a small angle.
How small is small ie small approximation of up to which angle of physical pendulum in calculating time period?
Small- little short not very important Small- little short not very important
What are conditions used while calculating time period of simple pendulum?
The time period of a simple pendulum is calculated using the following conditions: Length of the pendulum: The longer the length of the pendulum, the longer it takes for one complete back-and-forth swing. Acceleration due to gravity: The time period is inversely proportional to the square root of the acceleration due to gravity. Higher gravity results in a shorter time period. Angle of displacement: The time period is slightly affected by the initial angle of displacement, but this effect becomes negligible for small angles.
Does the time differ between a long swing of a pendulum compared to a small swing?
Not significantly, unless you start with the pendulum over about 15 degrees or so from the vertical. At large angles the period of the pendulum would increase somewhat, as the restoring force no longer increases linearly with displacement. You will note that clock pendulums generally swing through quite a small angle.
How Does the angle affect the simple pendulum?
By dampening. This can be done by changing the length of the pendulum The period is 2*pi*square root of (L/g), where L is the length of the pendulum and g the acceleration due to gravity. A pendulum clock can be made faster by turning the adjustment screw on the bottom of the bob inward, making the pendulum slightly shorter.
What is the difference in period for a pendulum on earth and a pendulum on moon?
The period of a simple pendulum swinging at a small angle is approximately 2*pi*Sqrt(L/g), where L is the length of the pendulum, and g is acceleration due to gravity. Since gravity on the moon is approximately 1/6 of Earth's gravity, the period of a pendulum on the moon with the same length will be approximately 2.45 times of the same pendulum on the Earth (that's square root of 6).
What type of angle is 30 degrees?
An Acute Angle is less than 90°orThe acute angle is the small angle which is less than 90°.so, 30 degree is an acute angle.
Why should a pendulum be swung less than ten degrees?
The time it takes for a pendulum to make one swing is almost exactly the same regardless if it swings thru any small angle. Once the angle starts getting large, like more then 10 deg, the difference in swing time becomes noticable. If you use a pendulum as a clock,so each second is one swing, then if you start the pendulum swinging at about 10 deg it will continue to be one second per swing even as it runs down to a smaller swing angle.
