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Find Angular And Linear Speed

An object sweeps out a central angle of π/3 radians in 0.5 seconds as it moves along a circle of radius 3 m. Find its angular speed over that time period.

Hamza is standing 3 meters from the center of a merry-go-round. If his linear speed is 6 m/s, what is his angular speed? 

 Ali is standing 2 meters from the center of a merry-go-round. If his linear speed is 6 m/s, what is his angular speed? 

 Find the angular speed of a point on a wheel given that its linear speed is 21.99 m/s and diameter is 1 m.

Ali is standing 3 meters from the center of a merry-go-round. If his linear speed is 18 m/s, what is his angular speed? 

  Is the sentence true or false? V=w r

 Find the angular speed of a point on a wheel given that its linear speed is 175.92 m/s and diameter is 4 m.

Fill in the blanks:

 Suppose that an object moves along a circle of radius r, traveling a distance s over a period of time t, Let θ be the angle swept out by the object in that period of time. Then we define the (average) angular speed ω of the object as:  ω =_____.

 Find the angular speed of a point on a wheel given that its linear speed is 31.42 m/s and diameter is 2 m.

Find the angular speed of a point on a wheel given that its linear speed is 79.58 m/s and diameter is 80 m.