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Linear and Angular Velocity Examples

Linear and Angular Velocity Examples Example 1 Determine the Angular displacement in radians of revolutions. Round to the nearest tenth. Each revolution equals 2 radians. For revolutions, the number of radians is 2 or 13. 13 radians equals about radians. Example 2 Determine the Angular Velocity if revolutions are completed in 4 seconds. Round to the nearest tenth. The Angular displacement is 2 or radians. = t = = , t = 4 Use a calculator. The Angular Velocity is about radians per second . Example 3 AMUSEMENT PARK Jack climbs on a horse that is 12 feet from the center of a merry-go-round. The merry-go-round makes 314 rotations per minute. Determine Jack s Angular Velocity in radians per second . Round to the nearest hundredth. The merry-go-round makes 314 or revolutions per minute. Convert revolutions per minute to radians per second . revolutions1 minute 1 minute60 seconds 2 radians1 revolution radian per second Jack has an Angular Velocity of about radian per second .

Jack’s linear velocity is about 4.08 feet per second. Example 6 BICYCLES The tires on a bicycle have a diameter of 24 inches. If the tires are turning at a rate of 50 revolutions per minute, determine the bicycle’s speed in miles per hour (mph). If the diameter is 24 inches, the radius is 12 inches. This measure needs to be written in miles.

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