1- A pendulum has a period of 2.94 s on Earth. What is itslength? Length of pend

Question

1- A pendulum has a period of 2.94 s on Earth. What is itslength?
Length of pendulum in meters?
2- The pendulum of a grandfather clock is 0.676 m long. What isits period on the Moon where the acceleration due to gravity isonly 1.63 m/s2?
Period of pendulum on Moon in seconds?
3- A 0.311-kg object is attached to a spring of spring constant43.5 N/m. The object is displaced by 6.78 cm from the equilibriumposition and let go. What is the frequency of vibration?
Frequency of vibration in Hz? A pendulum has a period of 2.94 s on Earth. What is itslength?
Length of pendulum in meters? The pendulum of a grandfather clock is 0.676 m long. What isits period on the Moon where the acceleration due to gravity isonly 1.63 m/s2?
Period of pendulum on Moon in seconds? A 0.311-kg object is attached to a spring of spring constant43.5 N/m. The object is displaced by 6.78 cm from the equilibriumposition and let go. What is the frequency of vibration?
Frequency of vibration in Hz?

Explanation / Answer

Given :       Period of the pendulum ( T ) =2.94 s        Accleration ( g ) = 9.8m/s2       Legth ( L ) = ?     As we know that      For samll amplitudes  Period T = 2 L/g        L = Tg / 2      L = ( T g / 2)2           Solvefor L = ------ m   b ) Legth ( L ) = 0.676 m acceleration due to gravity on moon ( g )= 1.63 m/s2 Period ( T ) = ? Period T = 2 L/g                 = ------ s    c )        mass ( m ) = 0.311kg       Spring constant ( k ) = 43.5N/m        Dispalcement ( x ) = 6.78cm = 6.78 * 10-2 m        Frequency ( f ) =1/2 k/m                               = ------ Hz     Plugin the values and solve it Period ( T ) = ? Period T = 2 L/g                 = ------ s    c )        mass ( m ) = 0.311kg       Spring constant ( k ) = 43.5N/m        Dispalcement ( x ) = 6.78cm = 6.78 * 10-2 m        Frequency ( f ) =1/2 k/m                               = ------ Hz     Plugin the values and solve it

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