## 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 2Ï€r, where r is the radius. The time taken for 100 revolutions is 45 seconds. Therefore, you can calculate the speed as:

speed = (2Ï€ * radius * 100) / time

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

speed = (2Ï€ * 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.