A pendulum is observed to complete 23 full cycles in 58 seconds. Determine the period and the frequency of the pendulum.
1

Frequency=0.39Hz

Explanation:

A pendulum completes 23 full cycles in 58 seconds

A pendulum completes 1 full cycle in 58/23=2.52 seconds

Time taken(t)=2.52 seconds

Now,

Frequency=1/time taken

Frequency=1/2.25

Frequency=0.39Hz

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.