A solid sphere of radius 25cm & mass 25kg rotates about an axis through its center. Calculate its moment of incitia of its angulal velocity changes from 2 rad/s to 12 rads in 5 second. Also calculate torque applied?
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A: Givenr = 8.5 mω0= 0α = 0.025 rad/s2I = 7.8 ×105 kg m2t = 30 sec
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A: Angular acceleration, α = 2.6 rad/s² Mass, m = 10.9 kg Radius, r = 0.757 m Torque, τ = ?
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- A bicycle tire is spinning counterclockwise at 3.40 rad/s. During a time period At 1.30 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.40 rad/s. Calculate the change in the tire's angular velocity Ao and the tire's average angular acceleration a (Indicate the direction with the signs of your answers.) HINT (a) the change in the tire's angular velocity Am (in rad/s) 6.80 X rad/s (b) the tire's average angular acceleration aay (in rad/s) 'av 5.23 x rad/s2what is the tangential acceleration of a bug on the rim of a 10.0 in diameter disl if the disc accelerates uniformly from rest to an angular velocity kf 78 rev/min in 3 sa torque is applied to a stationary disk, accelerating it to an angular v of 15rad/s in t=8s
- A bicycle tire is spinning counterclockwise at 3.80 rad/s. During a time period At 1.95 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 1.80 rad/s. Calculate the change in the tire's angular velocity Ace and the tire's average angular acceleration av (Indicate the direction with the signs of your answers.) HINT (a) the change in the tire's angular velocity Am (in rad/s) 7.60 X rad/s (b) the tire's average angular acceleration av (in rad/s²) xrad/s² 3.89A merry-go-round (treat as uniform disk) with mass of 65 kg and outer radius of 3.1meters, is rotating at 6 rad/s. An initially stationary child grabs on to the outer edgeand thereafter, moves with the merry-go-round. The child has mass 25 kg. What isthe final angular velocity of the merry-go-round in rad/s?a) What constant torque needs to be applied to a wheel with rotational inertia I=0.1kg-m² about its central axis to decrease crease its angular velocity from 26 to 16 rad/s in 5s? Assume constant angular acceleration. Calculate b) initial and c) final angular momentum of the flywheel, d) angular acceleration of the flywheel. Hint: angular momentum of a rigid body is L= Io, solve part d) first.