Question

Fan object moves in uniform circular motion in a circle of radius R=200 meters, and the objectes 5.00 seconds to

complete ten revolutions, calculate the centripetal acceleration
• ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are
measurements.
mis?
39.45
to2
100. mis
58 mis

Answer 1

The centripetal acceleration of the object is
`31550.72\ m/s^2`.

Step-by-step explanation:

We have,

Radius of a circular path is 200 m

It takes 5 seconds to complete 10 revolutions. The angular velocity of the object is given by the rate of change of angular displacement per unit time :

`\omega=(\Delta \theta)/(\Delta t)\\\\\omega=(2\pi * 10)/(5)\\\\\omega=12.56\ rad/s`

The centripetal acceleration of the object is given by :

`a=\omega^2 r\\\\a=(12.56)^2 * 200\\\\a=31550.72\ m/s^2`

So, the centripetal acceleration of the object is
`31550.72\ m/s^2`.