A 1.6-kg grindstone in the shape of a uniform cylinder of radius 0.20 m acquires a rotational rate of 18 rev/s from rest over a 6.0-s interval at constant angular acceleration. Part A Calculate the torque delivered by the motor.
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- Problem 7 : A sphere of radius r0 = 24.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 33.0∘ incline that is 15.0 m long. Part A Calculate its translational speed and rotational speed when it reaches the bottom. Does the answers depend on mass or radius of the ball? Part C What is the ratio of translational to rotational kinetic energy at the bottom?(Ktr/Krot=?) Does the answer depend on mass or radius of the ball?A bicycle wheel of mass M (all at the edges) and radius r is fixed about an axis through its center and is initially at rest. You wrap the wheel with a cord and attach a hanging weight of mass m to the cord. You release the weight and allow it to fall a distance d. The weight falls smoothly, and the cord does not slip over the wheel as it unwinds. a. (Write an expression for the angular acceleration α of the wheel in terms of the tension T of the cord.b. Write an expression for the linear acceleration a of the weight in terms of the tension T of the cord.c. (Using parts (a) and (b) find the linear acceleration in terms of M, m, and g.d. Write an expression for the linear speed v of the weight after it falls a distance d.e. For M = 7.5 kg, r = 33 cm, m = 250 g, and d = 1.5 m, what is the rotational kinetic energy of the wheel afterthe weight has fallen?Cons A constant torgue of 25 m - N is applied to the rim of a 15-kg uniform disk of radius 0.30 m. Part A What is the angular speed of the disk about an axis through its center after it rotates 2.0 revolutions from rest? Express your answer using two significant figures. Ην ΑΣφ rad/s Previous Answers Request Answer Submit X Incorrect; Try Again; 5 attempts remaining
- The spool has a mass, m, and a radius of gyration, kG. An inextensible is wrapped around the inner diameter of the spool and is attached to the wall a point A. The coefficient of friction between the floor and the spool is mu. If the spool has the initial angular velocity given as omega naught, how far will the center, G, move before stopping?W; = 0 %3D Wf initial final A flywheel consists of a thin uniform disk of mass m and radius R, free to rotate about a frictionless central axle. A small weight, also of mass m, is attached to the wheel's rim. The is wheel is held at rest (left), the small weight level with the axle, then released. What is the angular velocity of the wheel when the weight reaches its lowest point? 4g V 3R 8g V 5R 3g V 2R V28R 2gRParts D and E
- A long, thin uniform rod of length 1.29m and mass 2.08kg is pivoted about a horizontal, frictionless pin passing through one end. The rod is released from one end in the vertical position. L y Pivot x At the instant the rod is horizontal, find its angular speed. Submit Answer Tries 0/10 At the instant the rod is horizontal, what is its angluar acceleration? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its x-component of acceleration at its centre of mass? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its Y-component of acceleration at its centre of mass? Submit Answer Tries 0/10Plz asapComputation. A uniform solid sphere has mass M = 8.9 kg and radius R = 0.2 m. What is its moment of inertia about an axis tangent to its surface? I- 2 kg .m² Record your your numerical answer below, assuming three significant figures. Remember to include a as necessary.