Rotational Motion

Q: aring The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation wif) =…

A:

Q: A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 245 kg · m2 and is…

A:

Q: A wheel of radius R = 10.0cm, mass M = 25.0 kg, and moment of inertia I = 0.5kg.m² is mounted on a…

A: Applying Newton's second law of motion in rotational motion is τ=Iα............1τ-Torque about the…

Q: Find the torque needed to accelerate the object in the figure to an angular velocity of 20 radians…

A: Let the mass of the large sphere be m1 and that of the smaller sphere be m2. Consider the given data…

Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…

A: Solution: Given that ∆θ = 8.5 revolutionst = 13 sKE = 33.5 J

Q: A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A…

A: Given data:  Force (F) = 88.0 N Radius (r)= 0.150 m Angle (θ) = 90°,tangential force  Initial…

Q: A wheel has a radius of 0.1m and a moment of inertia of 4.00 kg-m2 starts from rest and accelerates…

A: Given data:  Radius (r) = 0.1 m Moment of inertia (I) = 4.00 kg.m2  Initial angular velocity (ω0) =…

Q: A sphere with a diameter of 8.95 cm and mass of 460 g is released from rest at the top of a 3.30 m,…

A: Given: The diameter is d=8.95 cm The mass is M=460 g=0.46 kg The height is h=3.30 m The angle is…

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: If its angular acceleration is constant and equal to 0.200 rad/s2, what is its angular velocity at t…

A: Initial angular velocity = W0 = 2.5 rad/s Final angular velocity = W = ? Time =t = 2.5 s

Q: Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel…

A: in this question we use equation of angular motion.

Q: A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 4.64 kg and radius 0.220 m. It is…

A:

Q: A 50 kg solid disk (I = ½ mr2) with a radius of r starts from rest and rotates about an axis through…

A: Given: Mass of disk, M=50 kg Angular speed of disk, ω=16 rad/s Radius of disk, r=3.5 m  Angular…

Q: A wheel rotates about a fixed axis with an initial angular velocity of 26 rad/s. During a 7-s…

A: We know the initial and final angular velocity according to this problem. Now we can apply the…

Q: An 82-cn-diameter 360 g solid sphere is released from rest at the top of a 1.9-m-long. 19" incline.…

A:

Q: A rotating wheel requires 5.00 s to rotate 30.0 revolutions. Its angular velocity at the end of the…

A: Given that wheel's velocity after 5.00 sec is 99.0 rad/sec, So  Using 1st rotational kinematic…

Q: spherical shell with a mass of 1.76 kg and a radius of 0.37 m is rolling acro vel ground with an…

A:

Q: The bowling ball has mass 6 kg, diameter 24 cm. The moment of inertia of a solid sphere around its…

A:

Q: The disk, which has a mass of 27 kg, is subjected to the couple moment of M = (1.7θ + 4.5) N m,…

A:

Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…

A: Given data: Force (F) = 2167 N Perpendicular lever arm = 2.15 cm = 0.0215 m Angular acceleration (α)…

Q: The tub within a washer goes into its spin cycle, starting from rest and reaching an angular speed…

A:

Q: On the figure, blocks A and B are connected by a string that loops around the wheel C. Blocks A and…

A:

Q: A 2243 kg solid sphere with a radius of 2.4 m rolls without slipping down an incline of 0 = 26°. If…

A:

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: A merry-go-round rotates at the rate of 0.17 rev/s with an 90 kg man standing at a point 2.9 m from…

A: Given: initial angular speed  wi = 0.17 rev/smass of man   m = 90kginitial distance from center axis…

Q: An ice skater with moment of inertia, I is rotating with angular speed, W. The skater pulls her arms…

A: Given: The intial moment of inertia of the system is I. The initial angular speed is ω. The final…

Q: A wheel of radius R = 10.0cm, mass M = 25.0 kg, and moment of inertia I = 0.5kg. m? is mounted on a…

A: Option b is

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Given data: The radius of platform is r=1.51 m. The rotational inertia of platform is I=479 kgm2.…

Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A:

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: Acceleration working on a body can be simply said to the amount in which a certain body's velocity…

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:

Q: A uniform cylinder has mass M = 2.00 kg, radius R = 0.0500 m, and moment of inertia for rotation…

A:

Q: 28

A: Write the expression for conservation of angular momentum

Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…

A: In rolling down on a inclined plan, The potential energy  Mgh is converted in to linear and…

Q: A spherical shell with a mass of 1.43 kg and a radius of 0.39 m is rolling across the level ground…

A: We know that, The angular speed ω of a rotational object which is moving with initial angular speed…

Q: A wheel, starting from rest, has a constant angular acceleration of 0.5 rad/s2. In a 2.9-s interval,…

A: Angular acceleration is Angular displacement is Time is Initial angular velocity is Find:Time for…

Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…

A: Torque = force(in newton)× perpendicular distance(in meter). Torque = 1559N × 3.25 × 10-2 m Torque =…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A:

Q: A child is playing with a 2.00 kg spinning toy (yo-yo) consisting of an axle connected to two disks,…

A: mass of toy = 2 kg Moment of inertia = 2.72×10-4 kg m2Angular speed (ω) = 29.2 rad/sec radius (r) =…

Q: A circular disk has a rotational inertia of 1.4 kg.m? and a constant angular acceleration of 4.4…

A: Given : Rotational inertia of circular disk, I = 1.4 kgm2              Angular acceleration, α = 4.4…

Q: A neutron star of mass 2.10×1030 kg and radius 8.40 km rotates with a period of 0.0194 seconds. What…

A: Hi. as you have posted multiple questions and not specified which question needs to be solved, the…