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A new car is tested on a 200-m-diameter track. If the car
Chapter 8, Problem 19E(choose chapter or problem)
Problem 19E
A new car is tested on a 200-m-diameter track. If the car speeds up at a steady 1.5 m/s2, how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
Questions & Answers
QUESTION:
Problem 19E
A new car is tested on a 200-m-diameter track. If the car speeds up at a steady 1.5 m/s2, how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
ANSWER:
Step 1 of 4
For the given car performing non-uniform circular motion with tangential acceleration \(a_{t}=1.5 \mathrm{~m} / \mathrm{s}^{2}\) around a circular path having a diameter \(d=200 \mathrm{~m}\).
We need to calculate the time interval \(\Delta t=?\) in which the centripetal acceleration becomes equal to tangential acceleration \(\left(a_{r}=a_{t}=1.5 \mathrm{~m} / \mathrm{s}^{2}\right)\).
Radius, \(r=d / 2=100 \mathrm{~m}\)
Pictorial representation of the given problem,
