👤

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 :

Given data

*The given mass is m = 4.0 kg

*The constant angular speed is

[tex]\omega=5.0\text{ rad/s}[/tex]

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

The radius is calculated as

[tex]\begin{gathered} v=r\omega \\ r=\frac{v}{\omega} \\ =\frac{5.0}{5.0} \\ =1.0\text{ m} \end{gathered}[/tex]

The formula for the radial force is calculated as

[tex]\begin{gathered} F=\frac{mv^2}{r} \\ =\frac{4.0\times(5.0)^2}{1.0} \\ =100^{}\text{ N} \end{gathered}[/tex]