A clay vase on a potter's wheel experiences an angular acceleration of 5.89 rad/s² due to the application of a 16.3-N m net torque. Find the total moment of inertia of the vase and potter's wheel. Number i Units
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- A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.1 rad/s in 2.99 s. (a) Find the magnitude of the angular acceleration of the wheel. rad/s2 (b) Find the angle in radians through which it rotates in this time interval. radA rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 94.8 kg. A person pushes on the outer edge of one pane with a force of F = 71.7 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. 1.2 m 1.2 m Number i UnitsA 40-N weight hangs from a (massless inelastic) cord that runs around the outside of a pulley. The pulley is a uniform solid disk of radius 12.8 cm and mass 6.5 kg. You may assume the system is released from rest. Determine the angular acceleration of the pulley. Express your answer in rad/s², to at least one digit after the decimal point. 40 N
- A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units radA grindstone increases in angular speed uniformly from 4.50 rad/s to 11.5 rad/s in 5.00 s. (a) Calculate the grindstone's angular acceleration. rad/s2 (b) Through what angle does it turn during that time? radA machine part rotates at an angular speed of 0.32 rad/s; its speed is then increased to 2.6 rad/s at an angular acceleration of 0.90 rad/s2. Find the angle through which the part rotates before reaching this final speed. rad
- A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. radA vinyl record spins freely on a frinctionless turntable. The mass of the record is 0.10 kg, the radius is 0.10 m, the rotational inertia is 5.0 x 10-4 kgm2 and it rotates with angular speed of 4.7 rad/s. A 0.024 kg piece of clay falls on the edge of the record. Determine the angular speed of the record right after the clay sticks to it. Use conservation of momentum.A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad
- The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i UnitsQ1 The angular position of a point on a rotating wheel is given by θ = 3.02 + 7.63t2 + 3.84t3, where θ is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 7.22 s? (d) Calculate its angular acceleration at t = 1.03 s. (e) Is its angular acceleration constant?A Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.024 rad/s2. How long does it take the wheel to come up to operating speed? Number i Units