Concept explainers
To Derive: The formula for maximum speed of pendulum.
Answer to Problem 34P
The formula for maximum speed of a simple pendulum bob in relation with gravity, length and angle is
Explanation of Solution
Given info:
Gravity =
Length =
Angle of swing=
Formula used:
The expression for law of conservation of energy.
This can be written as:
Here,
Calculation:
Relate the energy conservation principle to the potential energy at the maximum height of the pendulum to the kinetic energy at the lowest point of the swing. Relating the energy at top kinetic energy is zero and at bottom potential energy is zero is obtained.
Substitute the values in the above expressions.
Conclusion:
Thus, the formula for maximum speed of a simple pendulum bob in relation with gravity, length and angle is
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