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?

Respuesta :

Answer:

[tex]m=22.3\ kg[/tex]

Explanation:

The expression for centrifugal force is shown below as:-

[tex]F=\frac{m\times v^2}{r}[/tex]

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:-

[tex]222=\frac{m\times {7.60}^2}{5.8}[/tex]

[tex]57.76m=1287.6[/tex]

[tex]m=22.3\ kg[/tex]