Question

"Suppose you tie a rock to the end of a 0.96 m long string and spin it in a horizontal circle with a constant angular velocity of 20.25 rad/s. If the tension in the string is 970 N, what is the mass of the rock (ignore gravity)

Answer 1

The mass of the rock is
`m = 2.46406 \ kg`

Step-by-step explanation:

From the question we are told that

The length of the string is
`l = 0.96 \ m`

The angular velocity is
`w = 20.25 \ rad/s`

The tension on the string is
`T = 970 \ N`

Generally the centripetal force acting on the rock is mathematically evaluated as

`T = mlw^2`

making m the subject of the formula

`m = (T)/(w^2 * l)`

substituting values

`m = (970)/((20.25^2) * (0.96))`

`m = 2.46406 \ kg`