Dynamics of Uniform Circular Motion
Chapter 5
Dynamics of Uniform Circular Motion
5.1 Uniform Circular Motion
DEFINITION OF UNIFORM CIRCULAR MOTION Uniform circular motion is the motion of an object traveling at a constant speed on a circular path.
5.1 Uniform Circular Motion
Let T be the time it takes for the object to travel once around the circle.
Distance travelled in one circle is? 2
=
2 r
v=
r
T
5.1 Uniform Circular Motion
Example 1: A Tire-Balancing Machine
The wheel of a car has a radius of 0.29m and it being rotated at 830 revolutions per minute on a tire-balancing machine. Determine the speed at which the outer edge of the wheel is moving.
1
= 1.2?10-3 min revolution
830 revolutions min
T = 1.2?10-3 min = 0.072 s
v = 2 r = 2 (0.29 m) = 25 m s
T
0.072 s
5.2 Centripetal Acceleration
In uniform circular motion, the speed is constant, but the direction of the velocity vector is not constant.
+ = 90 + = 90
=
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