Question

A 0.100 kg mass is attached to a string 75cm long and swings in a horizontal circle, revolving once every 0.80 s. Calculate the centripetal acceleration of the mass.

Answer 1

The centripetal acceleration of the mass is 45.14 m/s².

Step-by-step explanation:

To calculate the centripetal acceleration of the mass, we can use the formula:

ac = (v^2) / r

where ac is the centripetal acceleration, v is the linear velocity, and r is the radius of the circular motion. In this case, the linear velocity can be calculated by dividing the circumference of the circle by the time it takes to complete one revolution:

v = (2πr) / t

Using the given values, we have:

v = (2 x 3.14 x 0.75m) / 0.80s = 5.88 m/s

Now we can substitute this value into the centripetal acceleration formula:

ac = (5.88^2) / 0.75m = 45.14 m/s²

Therefore, the centripetal acceleration of the mass is 45.14 m/s².