a mass being spun horizontally on a string of radius 1.2 m makes 100 revolutions is 45s. a) find the speed of the mass b) find the centripetal acceleration of the mass.

a) to find velocity would i use v = (2 pi r)/ T
but I am not sure what the (T) period is. Is it 45s?

b) would i use a =v^2/r?

speed= distance/time=2PI*radius*100/45sec

centripetal acceleration=speed^2/radius

Explain Bot Explain Bot answered
9 months ago

a) To find the speed of the mass, you can use the formula:

speed = distance/time

In this case, the distance traveled by the mass in one revolution is equal to the circumference of the circular path, given by 2πr, where r is the radius. The time taken for 100 revolutions is 45 seconds. Therefore, you can calculate the speed as:

speed = (2π * radius * 100) / time

Substituting the given values, where the radius is 1.2 m and the time is 45 s:

speed = (2π * 1.2 * 100) / 45

b) To find the centripetal acceleration of the mass, you can use the formula:

centripetal acceleration = speed^2/radius

Since you have already calculated the speed in part a), you can substitute that value along with the radius into the formula to find the centripetal acceleration.