A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball slides on the land with an intial speed vcom = 8.5 m/s and initial anbular speed ω0=0. The coefficient of kinetic friction between the ball and lane μk= 0.27. Use g = 9.8 N/kg. a) Determine the magnitude of the linear acceleration of the bowling ball. b) Determine the angular acceleration of the bowling ball in rad/s^2. c) How long (time) does the ball slide.

A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball slides on the land with an intial speed vcom = 8.5 m/s and initial anbular speed ω0=0. The coefficient of kinetic friction between the ball and lane μk= 0.27. Use g = 9.8 N/kg. a) Determine the magnitude of the linear acceleration of the bowling ball. b) Determine the angular acceleration of the bowling ball in rad/s^2. c) How long (time) does the ball slide.

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Question

A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball slides on the land with an intial speed v_com = 8.5 m/s and initial anbular speed ω₀=0. The coefficient of kinetic friction between the ball and lane μ_k= 0.27. Use g = 9.8 N/kg.

a) Determine the magnitude of the linear acceleration of the bowling ball.

b) Determine the angular acceleration of the bowling ball in rad/s^2.

c) How long (time) does the ball slide.

d) How far does the ball slide.

e) Determine center of mass velocity when the sliding stops.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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