What is the Angular Position?
A Ferris wheel rotates at an angular velocity of 3.9×10-2 rad/s . At t=0, your friend Seth is at the very top of the ride.
What is Seth’s angular position at t= 3.4 min measured counterclockwise from the top?
Give your answer as an angle in degrees between 0° and 360°.
Angular Velocity (ω): 3.9×10-2 rad/s
Time initial: tinitial=0
Time final: tfinal=3.4
First step is to convert minutes into seconds.
3.4 × 60 = 204 seconds
204 × 3.9×10-2 rad/s =7.95 radians
Convert to degrees.
7.95 × 180 / π= 455.84°
This is the measurement of how far Seth has traveled starting from the origin at the top. To find out how far he has gone through the range of 360°, subract from 360°