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A particle moves in a circular path of radius 10 m with a constant speed of 5 m/
A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?
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Practice Questions
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Q1
A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?
1 m/s²
2 m/s²
5 m/s²
10 m/s²
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Centripetal acceleration (a_c) = v²/r = (5²)/10 = 2.5 m/s².
Questions & Step-by-step Solutions
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Q
Q: A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?
Solution:
Centripetal acceleration (a_c) = v²/r = (5²)/10 = 2.5 m/s².
Steps: 5
Show Steps
Step 1: Identify the formula for centripetal acceleration, which is a_c = v²/r.
Step 2: Determine the values needed for the formula. Here, the speed (v) is 5 m/s and the radius (r) is 10 m.
Step 3: Square the speed (v). Calculate 5², which equals 25.
Step 4: Divide the squared speed by the radius. Calculate 25 / 10, which equals 2.5.
Step 5: State the result. The centripetal acceleration is 2.5 m/s².
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