Question

A 222 N force is required to keep an object moving along a circular path with a diameter of 11.6 m at a speed of 7.60 m/s. What is the mass of the object?

Answer 1

Answer:

$m=22.3\ kg$

Explanation:

The expression for centrifugal force is shown below as:-

$F=\frac{m\times v^2}{r}$

Where, m is the mass of the object = ?

v is the velocity of the object = 7.60 m/s

r is the radius

F is the force = 222 N

Diamter = 11.6 m

Radius = d/2 = 11.6 m/2 = 5.8 m

Applying the values in the above expression as:-

$222=\frac{m\times {7.60}^2}{5.8}$

$57.76m=1287.6$

$m=22.3\ kg$