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Two points on a merry-go-round are located at distances from the center r1 and r2, where r1 < r2. While the merry-go-round is in the process of speeding up to operational speed, which of the following equations involving magnitudes of angular speed, angular acceleration, and linear speed for these points is incorrect? • ω1 = ω2 • a1 = a2 • v1 = v2 • All of the equations are correct.
2600 rev/min is equivalent to which of the following? • 2600 rad/s • 43.3 rad/s • 273 rad/s • 60 rad/s
A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed? • 3.2 rad/s • 26 rad/s • 52 rad/s • 81 rad/s
Consider a point on a bicycle wheel as the wheel makes exactly four complete revolutions about a fixed axis. Compare the linear and angular displacements of the point. • Both are zero. • Only the angular displacement is zero. • Only the linear displacement is zero. • Neither is zero.
Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular velocities of the point. • Both are constant. • Only the angular velocity is constant. • Only the linear velocity is constant. • Neither is constant.
A 0.15 m-radius grinding wheel starts at rest and develops an angular speed of 12.0 rad/s in 4.0 s. What is the average tangential acceleration of a point on the wheel’s edge? • 0.45 m/s2 • 6.8 m/s2 • 28 m/s2 • 14 m/s2
A 0.30 m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2. What is the centripetal acceleration of a point on the outer edge of the tire after 5.0 s? • 300 m/s2 • 33 m/s2 • 30 m/s2 • 3.0 m/s2