** Next:** Worked example 7.3: Amusement
** Up:** Circular motion
** Previous:** Worked example 7.1: A

*Question:* A car of mass
travels around a flat
circular race track of radius
. The car starts at rest, and its
speed increases at the constant rate
. What is the speed
of the car at the point when its centripetal and tangential accelerations are equal?
*Answer:* The tangential acceleration of the car is
.
When the car travels with tangential velocity its centripetal acceleration is
. Hence,
when

or

Richard Fitzpatrick
2006-02-02