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# Category Archives: Precalculus

## 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!

## Precalculus problems (complete Playlist)

Explore many different Precalculus examples and practice problems to help you improve in this course.

Topics include polynomials, exponents, radicals, logarithms, equations, functions, graphs, limits, derivatives, sequences, series, application problems, and more!