What is the rotational kinetic energy of a 0.54 kg solid cylinder, with a radius of...
A 7.0 kg solid ball, radius 10 cm, is rolling at 10 m/s. For a solid ball the moment of inertia I=2MR2/5. 1. Calculate the ball's angular velocity in rad/s (show calculations) A. 100 B. 70 C.350 D.140 E.490 2. Calculate the balls linear momentum and angular momentum in kgs/s and kgm2/s, respectively (show calculations) A. 350 & 140 B. 140 & 350 C. 70 & 2.8 D. 2.8 & 70 3. Calculate the ball's translational rotational and total kinetic...
1. A solid cylinder has a mass of 5 kg and a radius of 30 cm. A torque of 40 Nm is applied to the cylinder. What will be its angular acceleration? a) 37.5 rad/s2 b) 59.3 rad/s2 c) 89.0 rad/s2 d) 178 rad/s2 2. When an object is in static equilibrium a) the net force on it is zero b) the net torque on it is zero c) the net force and net torque are zero d) not enough...
1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 2.A certain pulley is a uniform disk of mass 2.7 kg and radius 0.25 m. A rope applies a constant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of 0.12 rad/s2. The pulley starts at rest at time t = 0 s....
A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 4.0 kg-m2. At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 4.0 rad/s. 4. What is the rotational kinetic energy of the cylinder at t = 2 s? A) 4 J B) 16 J C) 32 J D) It cannot be determined without knowing the radius...
A baseball (mass 0.14 kg, radius 3.7 cm) is spinning with an angular velocity of 96 rad/s. What is its rotational kinetic energy?
A baseball (mass 0.14 kg, radius 3.7 cm) s spinning with an angular velocity of 48 rad/s. What Is its rotational kinetic energy?
Moment of Inertia or Rotational Inertia. A solid cylinder has mass 25kg with radius 60 cm (a) Find its moment of inertia. (b) if the cylinder has a linear speed is 7.7ms, what is the magnitude of the angular momentum of the cylinder? (b) If the cylinder has a linear speed is 7.7m/s, what is the magnitude of the rotational kinetic energy of the cylinder?
A 0.6 m diameter solid disk with mass 4.2 kg is rotating with a constant angular velocity of 8t rad/sec. A) What is the tangential speed of a point 15. on the rim? B) Calculate the rotational kinetic energy of the wheel. rolling along a Find the total kinetic energy of the wheel in the previous problem if the wheel is now horizontal surface at 16 m/s. 16.
A cylinder with rotational inertia I1 = 3.2 kg · m2 rotates clockwise about a vertical axis through its center with angular speed ω1 = 5.8 rad/s. A second cylinder with rotational inertia I2 = 1.2 kg · m2 rotates counterclockwise about the same axis with angular speed ω2 = 6.2 rad/s. If the cylinders couple so they have the same rotational axis, what is the angular speed of the combination (in rad/s)? What percentage of the original kinetic energy...
A 2.1 kg solid cylinder (radius = 0.20 m , length = 0.60 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.85 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy?