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# Category Archives: Radians Degrees Minutes Seconds

## Converting between Angular Speed and Linear Speed example question

The angular speed ω of a point moving in a circle is defined as the quotient θ/t, where θ is the angle in radians through which the point travels in time t.

a) Find the angular speed of a point that moves through an angle of 4 radians in 6 seconds

b) Find the angular speed of a point on the rim of a wheel that travels at 60 rpm (revolutions per minute)

c) Show that the linear speed v of a point moving in a circle is related to the angular speed by the formula v = rω

d) A car is moving at the rate of 60 miles per hour, and the diameter of each wheel is 2.5 feet. Find the angular speed of the wheels.

Solution to this Angular Speed Linear Speed practice problem is provided in the video below!

## Radian Degree Minute Second Transformation example question

a) Convert the following angle measure given in Radians into Degrees, Minutes and Seconds:

b) Convert the following angle measure in Degrees, Minute and Seconds into Radians:

424o3424

Solution to this Angle Measure Radian Degree Minutes Seconds Conversion practice problem is provided in the video below!