Circular Motion

Question

A particle moves in a circle of radius 2 m with a constant speed of 4 m/s. What is its centripetal acceleration?

RankGuru · Accepted Answer

1. **Concept**: In uniform circular motion, despite constant speed, acceleration exists because the direction of velocity changes.
2. **Centripetal acceleration ($a_c$)**: $a_c = v^2/r$.
3. **Substitute Values**:
   - $v = 4$ m/s.
   - $r = 2$ m.
4. **Calculation**:
   - $a_c = 4^2 / 2 = 16 / 2 = 8$ m/s$^2$.
5. **Direction**: This acceleration is always directed towards the center of the circle.

Rank Guru

Circular Motion

Select the correct option:

Solution

🔒 Solution Hidden from View

More circular motion Practice Questions

A 0.5 kg stone tied to a string moves in a horizontal circle of radius 1.2 m at constant speed 6 m/s...

A particle of mass 0.5 kg is moving in a vertical circle of radius 2 m. What is the minimum velocity...

A stone of mass 0.5 kg tied to a string of length 1 m is whirled in a horizontal circle at 2 revolut...

A particle performs uniform circular motion with angular velocity ω. What is the magnitude of its ac...

About This Question