Section 1: Rotational Motion Worksheet
Name:______Date:______Period:_____
Crazy Pete and Wild Bill are running around a track. Both of them are running with a velocity of 5 m/s. Using this information to answer the following questions:
Use (Bill / Pete / Same)
a) ______: Who has the greatest angular speed?
c) ______: Who has the greatest tangential velocity?
d) ______: Who will pass through the greatest angular displacement in 5 seconds? (Who will make it the furthest around the track)
Crazy Pete and Wild Bill are at it again. This time they are trying to launch themselves to the moon. Upon being released, answer the following question:
a)______: Who will feel the greatest angular acceleration?
b)______: Who will feel the greatest angular speed?
c)______: Who will feel the greatest tangential velocity?
d)______: Who will have the greatest angular displacement?
Quick Calcs:
1)Find the arc length for a 2 radian angle with a 4 meter radius.
2)What is the radius when the angle is 90 degrees and the arc length is 13 meters?
3)Find the tangential velocity when a track runner passes through a 10 meter arc in 5 seconds.
4)Find the angular speed in rad/s when a car passes through a .5 radian curve in 2 seconds.
5)If a drill runs at 3000 RPMs, find the angle passed through in 2 seconds of use.
Complex Calculations:
1)A tennis ball is swung from a string around an arc length of 1.2 meters in .5 seconds. Find the following:
a)Find the angular displacement.
b)Find the tangential velocity.
c)Find the angular velocity?
2)From the previous problem, if the angular speed remains the same, find the tangential velocity of the ball if it were released at a 2 meter radius.
3)What is the angle passed through in 5 seconds by a person traveling at 9 m/s while on a Ferris Wheel with a radius of 25 meters.
Gears:
1)If gear A is spinning at a rate of 10 radians per second, find the speed of gear B:
2)If gear A is spinning at a rate of 5 RPM, find the speed of gear B:
3)If gear B is spinning at a rate of 20 RPM, find the angular speed of gear A:
4)Find the angular speed of gear D if gear A is spinning at a rate of 100 revs/min
5)If the belt on gear D is traveling at 20 in/s, find the angular speed of pulley A
6)Find how fast the bike will travel if the main sprocket rotates at a rate of 2 RPM. The main sprocket diameter = 10 inches; smaller back sprocket diameter = 4 inches; Bike wheel diameter = 27 inches.