Question

A girl of mass 30.0 kg is on a roundabout of radius 5.0 m that makes one complete turn every 5.0 seconds.

What is the centripetal force acting on her?

Answer 1

The centripetal force acting on the girl is approximately 238.97 N.

Step-by-step explanation:

The centripetal force acting on the girl can be calculated using the formula:

F = m × (v² / r)

Where:

• F is the centripetal force
• m is the mass of the girl
• v is the linear velocity
• r is the radius of the roundabout

Given:

• Mass (m) = 30.0 kg
• Radius (r) = 5.0 m
• Time for one complete turn = 5.0 seconds

We can calculate the linear velocity using the equation:

v = 2 ×
`\pi` r / t

Where:

• t is the time for one complete turn

Substituting the values, we get:

v = 2 × 3.14 × 5.0 / 5.0 = 6.28 m/s

Now, substituting the values of m, v, and r into the centripetal force formula:

F = 30.0 × (6.28² / 5.0) = 238.97 N

Therefore, the centripetal force acting on the girl is approximately 238.97 N.