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A particle moves in a circular path of radius R with a constant speed v. What is
A particle moves in a circular path of radius R with a constant speed v. What is the centripetal acceleration of the particle?
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Practice Questions
1 question
Q1
A particle moves in a circular path of radius R with a constant speed v. What is the centripetal acceleration of the particle?
v^2/R
Rv^2
v/R
R/v^2
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Centripetal acceleration a_c = v^2/R.
Questions & Step-by-step Solutions
1 item
Q
Q: A particle moves in a circular path of radius R with a constant speed v. What is the centripetal acceleration of the particle?
Solution:
Centripetal acceleration a_c = v^2/R.
Steps: 6
Show Steps
Step 1: Understand that the particle is moving in a circular path.
Step 2: Know that the radius of the circle is R.
Step 3: Recognize that the particle is moving at a constant speed v.
Step 4: Learn that centripetal acceleration is the acceleration that keeps the particle moving in a circle.
Step 5: Use the formula for centripetal acceleration, which is a_c = v^2 / R.
Step 6: Substitute the values of v (speed) and R (radius) into the formula to find the centripetal acceleration.
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