Question

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

a) 4 m/s²
b) 8 m/s²
c) 16 m/s²
d) 20 m/s²

Answer 1

The magnitude of the acceleration of a particle moving in a circle can be calculated using the formula a = v^2 / r, where v is the velocity and r is the radius of the circle. Plugging in the values, we find that the magnitude of the acceleration is 40 m/s².

Step-by-step explanation:

The magnitude of the acceleration of a particle moving in a circle is given by the formula a = v^2 / r, where v is the velocity and r is the radius of the circle. In this case, the particle has a constant speed of 20 m/s and is moving in a circle of radius 10 m. Plugging in the values, we get a = (20)^2 / 10 = 400 / 10 = 40 m/s².

So, the magnitude of the acceleration is 40 m/s².