Question

a ball at the end of a string of length 0.94 m rotates at a constant speed in a horizontal circle. it makes 8.1 rev/s. what period of the ball's motion?

Answer 1

Answer:

T = 0.123 s

Step-by-step explanation:

The period of an object in circular motion is the time required for the object to complete one full revolution or cycle. It is equal to the time for the object to travel a distance equal to the circumference of the circle.

The circumference of a circle is given by:

C = 2πr

where r is the radius of the circle. In this case, the object is attached to the end of a string of length 0.94 m, so the radius of the circle is 0.94 m. Therefore,

C = 2π(0.94 m)
C = 5.90 m

The ball completes one revolution every 1/8.1 seconds, since it makes 8.1 revolutions per second. Therefore, the period of the ball's motion is:

T = 1 / (8.1 rev/s)
T = 0.123 s

So, the period of the ball's motion is 0.123 seconds.