Concept explainers
A car rounds a curve at a steady 50 km/h. If it rounds the same curve at a steady 70 km/h, will its acceleration be any different? Explain.
To Explain: A car rounds a curve at a steady
Answer to Problem 2Q
Solution:
We know that acceleration (centripetal) is given by
Explanation of Solution
Given:
A car moves on the same curve with different speed.
Formula Used:
If a body moves on a circular path with steady speed v, then centripetal acceleration is
Where v : speed of the body
R radius of the circular path
Calculation:
Centripetal acceleration when the car is moving with speed
Centripetal acceleration of car when is moving with speed
Hence in both the cases, centripetal acceleration is not same, but in the first
Conclusion:
A car moving on circular track. Its centripetal acceleration will change if its speed will change.
Centripetal acceleration
v : speed of the body
R : radius of the circular path.
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Physics: Principles with Applications
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