Question

A purse at radius 2.0 m and a wallet at radius 2.3 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns the magnitude of the acceleration of the purse is 2.0 m/s/s. Determine the acceleration of the wallet.

Answer 1

Answer:

Explanation:

Given

radius of purse from center $r_p=2\ m$

radius of wallet from center $r_w=2.3\ m$

Merry - go - round is undergoing uniform circular motion therefore angular velocity is constant

acceleration of purse is equal to centripetal acceleration $a_p=\omega ^2\times r$

where $\omega =angular\ velocity$

$2=\omega ^2\times 2$

$\omega =1\ rad/s$

acceleration of wallet is

$a_w=\omega ^2\times r_w$

$a_w=1\times 2.3=2.3\ m/s^2$