1.3 Notes.notebook
January 20, 2015
1.3 Angular and Linear Velocity
Name: ________________
Objectives: Students will be able to compute linear and angular
velocity.
If the speedometer in your car says 50 mph, then your velocity is 50
mph. If an object is in motion on a circle, we discuss two types of
velocities:
Angular velocity
Linear velocity
Jan 7­7:28 AM
Jan 20­12:09 PM
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1.3 Notes.notebook
January 20, 2015
Jan 20­11:32 AM
Examples Perform each conversion. Round to the nearest tenth.
1.) 60 rev/sec = ________ rad/sec
2.) 3000 rad/hr = _______ rev/sec
3.) A windmill for generating electricity has a blade that is 30 feet
long. It rotates at 999,000 rev/mo. Find the angular velocity in
rad/sec.
Jan 7­7:39 AM
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1.3 Notes.notebook
January 20, 2015
4.) A common speed for an electric motor is 3450 rev/min. Saw
blades of 12 in diameter are attached to such a motor. Determine
the linear velocity in mi/hr for a point on the edge of the blade.
5.) What is the linear velocity in mph of a point on the equator?
3950 mi
π/12 rad/hr
Jan 7­7:42 AM
6.) The space shuttle orbits the earth in about 90 minutes at an
altitude of about 125 mi, but a communicatoin satellite must always
remain above a fixed location on earth, in synchronous orbit with
the earth. Since the earth rotates 15o per hour, the angular
velocity of a communication satellite must be 15o per hour. To
achieve a synchronous orbit with the earth, the radius of the orbit
of a satellite must be 6.5 times the radius of the earth (3950 mi).
What is the linear velocity in mph of such a satellite?
Homework: Pg. 66: For Thought: #1-10
Exercises: Pgs 66-68: #5-39 odd, 43, 45
Jan 7­7:49 AM
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