Worksheet #1 Circular Motion Supplemental Instruction Iowa State University Leader: Course: Instructor: Date: Brian PHYS 221 Ho 01/21/2014 1. The angular position of a 0.36 m flywheel is given by, θ = (2.0 rad/ s^3)t^3 a. Find θ in radians and degrees at t1 = 2.0 s and t2 = 5.0 s. b. Find the distance a particle on the edge of the flywheel moves in that interval. c. Find the average angular velocity of the particle in rad/ s and revolutions/ minute during that time interval. d. Find the instantaneous angular acceleration at t1 = 2.0 s and t2 = 5.0 s. 2. A DVD finishes spinning in a player. The disc’s angular velocity at time t = 27.5 rad/ s and its angular acceleration is a constant -10 rad/ s^2. There is a colored line that extends from the axis of rotation to the tip of the disc along the (+)-x axis. a. What is the disc’s angular velocity at t – 3.00 s? b. What angle does the line make with the (+)-x axis at this time? 1060 Hixson-Lied Student Success Center 515-294-6624 [email protected] http://www.si.iastate.edu Do NOT plug in numbers until you have solved for the desired variable! Try to solve each problem algebraically first. 3. You drive a race car around a circular track of radius 100 m at a constant speed of 100 km/h. If you then drive the same car around a different circular track of radius 200 m at a constant speed of 200 km/h, your acceleration will be a. b. c. d. e. 8 times greater. 4 times greater. twice as great. the same. half as great. 4. The velocity and acceleration of an object at a certain instant are v = (3.0 m/s) ˆj a = (0.5 m/s2 )i–( 0.2 m/s2 )ˆj At this instant, the object is a. speeding up and following a curved path. b. speeding up and moving in a straight line. c. slowing down and following a curved path. d. slowing down and moving in a straight line. e. none of these is correct
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