Linear Velocity.notebook
December 06, 2011
1
Linear Velocity.notebook
December 06, 2011
Find the angular velocity in radians per second of each:
a. second hand
b. minute hand
c. hour hand
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Linear Velocity.notebook
December 06, 2011
Section 6.2: Linear Velocity
Linear Velocity is the distance travelled over a period of time. If the object is travelling in a circular path the following formula is used:
Linear Velocity = (radius)(angular velocity)
v = rθ t
Example 1: Determine the linear velocity of a point rotating at an angular velocity of 31π radians per second if the point is 15 cm from the center of the object.
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Linear Velocity.notebook
December 06, 2011
Example: The children's museum in Indiana has a carousel. The carousel contains three concentric circles of animals. The inner circle of animals is 11ft from the center and the outer circle is 20 feet from the center. The carousel makes 2 and 5/8 rotations per minute. What is the linear velocity in radians per second of someone riding on the inner circle? outer circle?
Example 2: The tires on a bicycle have a diameter of 30 inches and are turning at a rate of 141 revolutions per minute. Determine the bicycle's speed in miles per hour.
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