Question

A mass m is attached to a string connected to a force sensor on a rotating platform. The platform’s angular velocity, ω, can be easily measured, but the linear velocity of the mass cannot. When the mass is at r = 0.20 m and rotates at a constant ω = 8.5 rad/s, a force sensor reads 4.8 N. What is the mass m?

Answer 1

Answer:

The mass m is 0.332 kg or 332 gm

Explanation:

Given

The platform is rotating with angular speed , $\omega =8.5\, \frac{rad}{sec}$

Mass m is moving on platform in a circle with radius , $r=0.20\, m$

Force sensor reading to which spring is attached , $F=4.8\, N$

Now for the mass m to move in circle the required centripetal force is given by $F=m\omega ^{2}r$

=>$4.8=m\times 8.5 ^{2}\times 0.20$

$=>m=0.332\, kg$

Thus the mass m is 0.332 kg or 332 gm