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:

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Answer:

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

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

[tex]a_c = \frac{v^2}{r} = \frac{(1)^2}{2} = 0.5 \ m/s^2[/tex]

The acceleration when the velocity = 2.0 m/s

[tex]a_c = \frac{v^2}{r} = \frac{(2)^2}{2} = 2 \ m/s^2[/tex]

The acceleration when the velocity = 3.0 m/s

[tex]a_c = \frac{v^2}{r} = \frac{(3)^2}{2} = 4.5 \ m/s^2[/tex]

The acceleration when the velocity = 4.0 m/s

[tex]a_c = \frac{v^2}{r} = \frac{(4)^2}{2} = 8 \ m/s^2[/tex]

The acceleration when the velocity = 5.0 m/s

[tex]a_c = \frac{v^2}{r} = \frac{(5)^2}{2} = 12.5 \ m/s^2[/tex]

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