A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 rad/s. The centripetal f

Question

A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 rad/s. The centripetal force is:

Accepted Answer

1. **Identify Given Values:**
   - Mass ($m$) = 5 kg
   - Radius ($R$) = 1 m
   - Angular velocity ($\omega$) = 2 rad/s

2. **Formula Selection:** The centripetal force ($F_c$) required to keep a body moving in a circular path with angular velocity is given by Newton's Second Law applied to centripetal acceleration ($a_c = \omega^2 R$):
   $$ F_c = m a_c = m \omega^2 R $$
   [Source 43, 63]

3. **Calculation:**
   Substitute the given values into the equation:
   $$ F_c = 5 	ext{ kg} 	imes (2 	ext{ rad/s})^2 	imes 1 	ext{ m} $$
   $$ F_c = 5 	imes 4 	imes 1 $$
   $$ F_c = 20 	ext{ N} $$

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