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Lemur [1.5K]
3 years ago
6

A cyclist rides in a circle with speed 5 m/s. What is his centripetal

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Option A

The centripetal acceleration is 1.32 ms^{-2}

<em><u>Solution:</u></em>

From given question,

A cyclist rides in a circle with speed 5 m/s

The circle has a radius of 19 m

To find: Centripetal acceleration

<em><u>The formula for Centripetal acceleration is given as:</u></em>

a_c = \frac{v^2}{r}

Where,

a_c = centripetal acceleration

r is the radius and v is the velocity

From given statement,

radius = r = 19 m

velocity = v = 5 m/s

<em><u>Substituting the values in above formula, we get</u></em>

a_c = \frac{5^2}{19}\\\\a_c = \frac{25}{19}\\\\a_c = 1.315 \approx 1.32

Thus centripetal acceleration is 1.32 ms^{-2}

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see the attached figure with letters to better understand the problem

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