A particle travels in a circle of radius 10 m in a constant speed of 20m/s. What is the magnitude of acceleration?

Question

asked Jul 9, 2024 162k views

1 Answer

Fabianvf · Answer 1 · 2024-07-14T03:53:43+0000

The magnitude of the acceleration is 400 m/s^2.

The magnitude of acceleration in circular motion can be determined using the formula:

ac = v^2 / r

where ac is the centripetal acceleration, v is the velocity of the particle, and r is the radius of the circle.

In this case, the velocity of the particle is 20 m/s and the radius of the circle is 10 m. Substituting these values into the formula, we get:

ac = (20 m/s)^2 / 10 m = 400 m/s^2

Therefore, the magnitude of acceleration is 400 m/s^2.