Question

t the radius to 2.0 m and the velocity to 1.0 m/s. Keeping the radius the same, record the magnitude of centripetal acceleration for each given velocity. Include units. Velocity: 1.0 m/s 2.0 m/s 3.0 m/s 4.0 m/s 5.0 m/s Acceleration: Velocity factor: Acceleration factor:

Answer 1

The acceleration when the velocity is 1.0 m/s = 0.5 m/s²

The acceleration when the velocity is 2.0 m/s = 2 m/s²

The acceleration when the velocity is 3.0 m/s = 4.5 m/s²

The acceleration when the velocity is 4.0 m/s = 8 m/s²

The acceleration when the velocity is 5 m/s = 12.5 m/s²

Step-by-step explanation:

Given;

radius, r = 2.0 m

different values of the velocity, 1.0 m/s, 2.0 m/s, 3.0 m/s, 4.0 m/s, 5.0 m/s

The acceleration when the velocity = 1.0 m/s

`a_c = (v^2)/(r) = ((1)^2)/(2) = 0.5 \ m/s^2`

The acceleration when the velocity = 2.0 m/s

`a_c = (v^2)/(r) = ((2)^2)/(2) = 2 \ m/s^2`

The acceleration when the velocity = 3.0 m/s

`a_c = (v^2)/(r) = ((3)^2)/(2) = 4.5 \ m/s^2`

The acceleration when the velocity = 4.0 m/s

`a_c = (v^2)/(r) = ((4)^2)/(2) = 8 \ m/s^2`

The acceleration when the velocity = 5.0 m/s

`a_c = (v^2)/(r) = ((5)^2)/(2) = 12.5 \ m/s^2`