Question

A 400 kg mass is moving in a circular path with a constant angularspeed of 5.00 rad/sec and with a linear speed of 5.00 m/sec. Themagnitude of the radial force on the mass is?

Answer 1

Given data

*The given mass is m = 4.0 kg

*The constant angular speed is

`\omega=5.0\text{ rad/s}`

*The given linear speed is v = 5.00 m/s

The radius is calculated as

`\begin{gathered} v=r\omega \\ r=(v)/(\omega) \\ =(5.0)/(5.0) \\ =1.0\text{ m} \end{gathered}`

The formula for the radial force is calculated as

`\begin{gathered} F=(mv^2)/(r) \\ =(4.0*(5.0)^2)/(1.0) \\ =100^{}\text{ N} \end{gathered}`