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

The mass m is 0.332 kg or 332 gm

Step-by-step explanation:

Given

The platform is rotating with angular speed ,
`\omega =8.5\, (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* 8.5 ^(2)* 0.20`

`=>m=0.332\, kg`

Thus the mass m is 0.332 kg or 332 gm