A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?

Q: A disk is initially motionless. It then begins to spin with a unknown constant angular acceleration…

A: We are given that after t=8 seconds, T=0.855 sec⇒2πω=0.855⇒ω=2π0.855 rad/s Hence the angular…

Q: A uniform, solid cylinder of radius 7.00 cm and mass 9.00 kg starts from rest at the top of an…

A: Given thatRadious of cylindermass of the cylinderlength of cylinderL= 2m  = 21°Find = cylinder speed…

Q: A compact disk of diameter 14 cm starts from rest and speeds up uniformly to 2 rev/s in 3.0 seconds.…

A: we use the rotational equation of motion

Q: A rope of negligible mass is wound round a hollow cylinder of mass 6 kg and radius 80 cm. What is…

A: The moment of inertial of the cylinder about its geometric axis is

Q: A uniform 2.2-kg cylinder can rotate about an axis through its center at O. The forces applied are:…

A: Page 1

Q: A 36.8 kg child stands on a spinning platform that has been well maintained (neglect friction in the…

A:

Q: A child pushes tangentially on a small hand driven merry- go- round.  She is able to accelerate it…

A:

Q: In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it.…

A:

Q: A bicycle tire of radius 5.1meter  rotates {theta}radian in time 6.9 seconds. Calculate the…

A: Given: The radius of the tire is r=5.1 m. The number of rotations is θ. The time taken to complete…

Q: A bicycle has tires of radius 0.35 meters. If the bicycle is traveling at a constant speed of 7.8…

A: Angular speed is time rate of change of angular displacement.

Q: (a) A wind turbine for generating electricity rotates clockwise at the rate of 17.0 rpm (revolutions…

A:

Q: A disk drive is spinning at 10,000 rpm (1045 rad/s).  It decelerates to rest in 0.42 s.  The disk is…

A: Initial angular velocity of the disk, ωi=1045 rad/s Final angular velocity of the disk, ωf=0…

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: What is the rotational inertia of a cylindrical ring about its central axis. It has an inner radius…

A:

Q: The disk with radius ofR= 0.3 m and mass of m =2 kg rotates around an axis that is passing through…

A: Given: mass, m=2 kg radius, R=0.3 m diameter, d=R2=0.32=0.15 m angular acceleration, α=9.6 rad/s2

Q: R2 RD Rotation axis (hrw8c10p54) A cylinder having a mass of 12.0 kg can rotate about its central…

A:

Q: A gyroscope flywheel of radius 3.26 cm is accelerated from rest at 12.5 rad/s2 until its angular…

A:

Q: In the figure, wheel A of radius rA = 6.74 cm is coupled by belt B to wheel C of radius rc = 22.1…

A: The radius of wheel A rA=6.74 cm The radius of the wheel C rc=22.1 cm Angular Acceleration for…

Q: A wheel of radius 2 m, rotates about a fixed axis with a constant angular acceleration of 4.7…

A: Given:     Radius of the wheel, r = 2m     Angular acceleration, α = 4.7 rad/s2    Angular velocity,…

Q: A disk with an initial angular velocity = 9 rad/sec experiences a constant angular    acceleration…

A: Given,Initial angular velocity of the disk, ωi = 9 radsangular acceleration of the disc, α = 9…

Q: A uniform, solid cylinder of radius 3.00 cm and mass 3.00 kg starts from rest at the top of an…

A: Radius =3cm Mass= 3kg L= 2m  .θ = 25° To find = cylinder speed at the bottom of the ramp

Q: The total acceleration of a point on a rim of a 1.5-m diameter pulley is 9m/s² when its angular…

A:

Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…

A:

Q: A gyroscope flywheel of radius 2.830 cm is accelerated from rest at 14.20 rad/sec² until its angular…

A: radius = 2.83 cm r = 2.83100 mr = 0.0283 minitial angular velocity = 0 radsecangular acceleration =…

Q: A uniform 4.7-kg cylinder can rotate about an axis through its center at O. The forces applied are:…

A: The torque due to a force F→ acting at r→ is given as, τ→=r→×F→ = (r sinθ) F where r sinθ is the…

Q: The uniform disk of mass m is rotating with an angular velocity of v0 when it is placed on the…

A: Given: The uniform disk of mass m is rotating with an angular velocity of v0 when it is placed on…

Q: A solid cylinder of mass 4.2 kg and radius 0.41 m starts from rest at the top of a ramp, inclined…

A: mass= m = 4.2 kg radius = r =0.41 m height = h = 2.4 m angle = 20 degrees

Q: A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it…

A: initial angular speed = 0 rpm = 0 rad/sec final angular speed = 18 rpm  = 1.885 rad/sec Using ,…

Q: (a) Find the maximum angular speed of the roller. ] rad/s (b) What is the maximum tangential speed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In the figure, wheel A of radius ra = 10.4 cm is coupled by belt B to wheel C of radius rc = 23.9…

A:

Q: A gyroscope has a disk of mass mm and radius of 31 cm that spins at 34 rev/s. The center of mass of…

A: Write the expression for the moment of inertia of the disk. I=12MR2

Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades…

A:

Q: What is the rotational inertia of top 8 meters of a sphere with a radius of 14 meters and a constant…

A: Moment of inertia  describes the capacity of a cross-section to resist its bending. For a rotating…

Q: A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined…

A: Solution:Given:m = mass of solid cylinder = 4.6 kgr = radius of solid cylinder = 0.6 mθ = angle of…

Q: You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 140 kg…

A: Note: As per the rules we can answer only 3 sub-parts, please post the remaining sub-parts as the…

Q: In the figure, wheel A of radius rA = 13.2 cm is coupled by belt B to wheel C of radius rc = 26.2…

A: GivenrA=13.2 cm=0.132 mrc=26.2 cm=0.262 mαA=1.17 rad/s2

Q: A uniform disk of radius 0.489 m and unknown mass is constrained to rotate about a perpendicular…

A: Radius of disk = 0.489m Tangential force = 0.211N Angular acceleration = 0.115rad/s2

Q: A uniform sphere rolls down an incline. What must be the incline angle if the linear acceleration of…

A: Angle of Inclination(θ).given,linear acceleration(a)=0.12g

Q: The cylindrical 1.4 kg millstone with a radius of 0.2 m reaches an angular velocity of 1800 rpm / s,…

A:

Q: A uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a…

A:

Q: A 39.8 kg child stands on a spinning platform that has been well maintained (neglect friction in the…

A: We will use conservation of angular moment. I1ω1 =I2ω2  I1 =MR22+ 4x1.12 = 28.656 + 4.84 = 33.496 kg…

Q: A hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The…

A: total kinetic energy of hoop= 1/2 *m*v2 +1/2*I*ω2= 1/2 *m*v2 +1/2 *(mr2)ω2= 1/2 *m*v2 +1/2 *m*v2 =…