A flywheel, a disk of a radius of 50 cm and mass of 150 kg, is accelerated from rest at 30.5 rad/s2 about its central axis until it reaches an angular speed of 3000 rev/minute. 1. What is the rotational kinetic energy of the flywheel in equilibrium?

Q: A skater extends her arms horizontally, holding a 5-kg mass in each hand. She is rotating about a…

A: total initial moment of inertia = 5 + (2*5)(1)2  = 5 + 10  = 15 kg m 2total final moment of inertia…

Q: A thin disk rotates about an axis that goes through its center perpendicular to its plane. The…

A:

Q: A disk rotates around a fixed axis at its center with an angular velocity of 300 rad/s when it…

A:

Q: A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the…

A:

Q: high-speed drill reaches 2200 rpmrpm in 0.51 s. a) What is the drill's angular acceleration?…

A: According to the question data ωo=0 rad/s ω=2200 rpm t=0.51 sec We need to find (a) Angular…

Q: Please help me. A child pushes a merry-go-round from rest to a final angular speed of 0.750 rev/s…

A: Given: The initial angular velocity of the merry-go-round is 0 rad/s. The final angular velocity of…

Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…

A: Given data:  Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…

Q: A thin, 200 gg disk with a diameter of 8.00 cmcm rotates about an axis through its center with 0.15…

A: Mass, m = 200 g = 0.2 kg Diameter, d = 8 cm = 0.08 m Radius, r = d/2 = 0.04 m Kinetic energy, K =…

Q: A spinning wheel steadily slows from an initial angular velocity of 1.95 rev/s to 0.495 rev/s in…

A: Given data: Initial angular velocity (ω0) = 1.95 rev/s Final angular velocity (ω) = 0.495 rev/s Time…

Q: A solid sphere of mass 2 kg and diameter 15 cm rotates about its center at rate 2 rad/s.  What is…

A: Given: The mass of the sphere is 2 kg. The diameter is 15 cm. The angular speed is 2 rad/s.

Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…

A: Now to find velocity we can use the basic kinematics law, v2=u2+2ah We need acceleration.  For this…

Q: The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of…

A: Given: Mass m=2 kg Radius r=0.5m Inertia I=4kg m2

Q: A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the…

A: In this problem the angular acceleration of the object is uniform so we can use equation of motion.

Q: A wind turbine has a moment of inertia of 2.8*10^11 kg*m^2 . How much energy is required to speed it…

A:

Q: A bicycle travels 141 m along a circular track of radius 30 m. What is the angular displacement in…

A:

Q: A solid sphere of radius 10.0 cm and mass 12.0 kg starts from rest and rolls without slipping a…

A: Apply principle of conservation of energy. Assume the edge of the incline is the reference line.…

Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…

A:

Q: Starting at rest, a circular disk with a radius of 2.0 m rotates with a constant angular…

A: Tangential acceleration is given by the formula, at=α r where α is angular acceleration and r is…

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: A cd rotates at 27 rad/s. What is the angular speed in revolutions per minute (RPM)?

A:

Q: A solid disk of radius R=80cm rotated about its center at an angular speed of 61 revolutions per…

A: The rotational kinetic energy is the rotational analog of the linear kinetic energy of an object. It…

Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…

A: Given data: The weight of ball is W=70 N. Mass of pulley is m=3 kg. Radius of pulley is r=0.4 m.…

Q: 500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s. What is…

A: Given, Energy KE = 500 J Initial angular velocity of disk ω0=65 rad/s Final angular velocity of disk…

Q: A uniform disk with radius R = [R} m and mass [M} kg rotates in a horizontal plane on a frictionless…

A: Given Angle through which the disk has turned varies with time according to θt=1.1t+1.8t2   We have…

Q: A rotating wheel has a constant angular acceleration. It has an angular velocity of 5.0 rad/s at…

A: Initial angular velocity is Final angular velocity is Time is Find:Angular displacement.