275 g, block 2 has mass m2 Q: In Figure, block 1 has mass m1 which is mounted on a horizontal axel with negligible friction, has radius R = released from rest, block 2 falls 60.0 cm in 2.00 s without the cord slipping on the pulley. What is the rotational inertia of the pulley? (g = 9.8) = 625 g,and the pulley, 25 cm. When %3D R C 0.066 0.230 0.160 0.660 0.860

Q: A carousel has a radius of 1.60 m and a moment of inertia of 118 kg • m². A girl of mass 48.0 kg is…

A:

Q: A torque 151 N m is applied to the centrifuge to increase its angular velocity to 3500 rev/min in 45…

A: Angular acceleration is,

Q: A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m² and is…

A: Given : Radius of a merry-go-round (R) = 2.20 m Moment of inertia (I) = 230 kg.m2 Initial angular…

Q: Find the rotational inertia of the following masses with respect to the y-axis: m1=3.5,…

A:

Q: A potter's wheel, with rotational inertia 46 kg · m2, is spinning freely at 40 rpm. The potter drops…

A:

Q: During a gym session, Ayanda sits on a freely rotating stool holding two dumbbells, each of mass…

A: Given: Mass of each dumbbells, m= 2.50 kg When his arms are extended horizontally, the dumbbells are…

Q: A skater has a moment of inertia of 120kg m2 when his arms are outstretched and a moment of inertia…

A: Moment of inertia of skater with outstreched arms = 120 kgm2Moment of inertia of skater with arms…

Q: w = 0 v = 0 The block of mass m=4.30 kg is attached to a light string around a pulley, as shown in…

A: Write the equation for the torque. TorqueT=MOI×Angular acceleration αT=Iα…

Q: The coordinate axes shown represent the principal centroidal axes of inertia of a 3000-lb space…

A:

Q: A child of mass 54.3 kg sits on the edge of a merry-go-round with radius 2.2 m and mo- ment of…

A:

Q: A girl pushes on a large wine barrel, which has a radius of 0.259 m and moment of inertia of 146 kg…

A: Given,

Q: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a…

A:

Q: A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from…

A:

Q: An electric fan turns with constant angular acceleration of 1.24 rad/s^2. How much time does it take…

A: Given, Angular acceleration, α=1.24 rad/s2 Initial angular speed, ω0=0 rad/s Final angular speed,…

Q: R=50 cm When the block is released, what is its linear acceleration. Hint: Disk's Rotational Inertia…

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Q: A bicyclist starting at rest produces a constant angular acceleration of 1.40 rad/s? for wheels that…

A:

Q: Q. In Figure, block 1 has mass m 1-460 g, block 2 has mass m 2-500 g, and the pulley, which is…

A:

Q: A typical helicopter with four blades rotates at 290 rpm and has a kinetic energy of 5.85 x 105 J.…

A:

Q: In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an…

A: Given: radius, r = 3 m  angular velocity, w = 5 rad/s

Q: An owl's head rotates through an angle of 306° as it hunts. If the head slows down from 111.5 rpm to…

A:

Q: 1. What is the magnitude of the angular acceleration of the disk? Idisk = (1/2)MR2 2. How fast is…

A:

Q: A 16-kg block is attached to a cord that is wrapped around the rim of a flywheel of diameter 0.40 m…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A 0.150-m-radius grinding wheel, starting at rest, develops an angular speed of 13.0 rad/s in a time…

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Q: At t = 2.50 s, find the angular speed of the wheel.  rad/s  (b) At t = 2.50 s, find the magnitude…

A:

Q: An Atwood's machine is shown here. Two masses, m1m_1m1​ = 1.00 kg and m2m_2m2​ = 1.50 kg are hung…

A:

Q: A bicycle wheel has an initial angular velocity of 1.50rad/s. (a) If its angular acceleration is…

A: Initial angular velocity of bicycle wheel (ωi) = 1.50 rad/sec. (a) Constant angular acceleration (α)…

Q: Sir james is seating 2 m from the center of a carousel that is initially at rest. At an initial t=…

A:

Q: Suppose the moment of inertia of an ice skater is 0.80 kg·m2 when her arms and legs are pulled in,…

A:

Q: A rope is wrapped around a circular pulley such that its acceleration is given by a = 10t (in m/s²,…

A:

Q: A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m2 and is…

A: The initial moment of inertia is, Ii=230 kgm2 The initial angular speed is, ωi=8 rev/min The final…

Q: The angular displacement of the centrifuge is given by e - 3.2[t + 34e 0.030t - 34] rad, where t is…

A: Angular displacement Angular velocity

Q: A rotating table, with moment of inertia 29 kg·m2, is spinning at 40 rpm. A piece of clay is dropped…

A:

Q: A toy top with a spool of diameter 5.5 cm has a moment of inertia of 2.8×10−5 kg⋅m2bout its rotation…

A:

Q: A 41.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from…

A: a. Angular speed of the wheel is ω=ω0+αt=0+3 rad/s22.44 s=7.32 rad/s

Q: The angular position of a 0.360m-diameter flywheel is given by θ=(2.00 rad/s3)t3θ=(2.00 rad/s3)t3.…

A: Diameter, d=0.360mangulr position , θ=2.00 rad/s3t3ti=0stf=2.0s

Q: A bicycle wheel has an initial angular velocity of 1.50 rad/s. (a) If its angular acceleration is…

A: The first and the third equation of motion for the rotational motion is  w = wo + α tw2 = wo2 + 2 αθ…

Q: The tub of a washing machine goes into its spin cycle, starting from rest and gaining angular speed…

A:

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg. When his arms…

A: We know that since there is no external force applied, So angular momentum of student will remain…

Q: A pulley, with a rotational inertia of 7.7 x 10 kg-m2 about its axle and a radius of 12 cm, is acted…

A:

Q: A student, sitting on a stool rotating at a rate of 38 RPM, holds masses in each hand. When his arms…

A: Given: Rotation speed of stool n1 = 38 RPM Inertia of the system when hands are open I1 = 7.5 kg.m2…

Q: A carousel has a radius of 1.60 m and a moment of inertia of  130 kg · m2. A girl of mass 43.0 kg…

A: Given data: A carousel has a radius of, r= 1.60 m Moment of inertia of  I0 = 130 kg · m2 Mass of the…

Q: A cylinder with rotational inertia I1 = 3.4 kg · m2 rotates clockwise about a vertical axis through…

A: Rotational inertia of first cylinder (I1) = 3.4 kg-m2Rotational inertia of second cylinder (I2) =…

Q: A 16-kg block is attached to a cord that is wrapped around the rim of a flywheel of diameter 0.40 m…

A: given,mass of the block, m = 16 kgdiameter of flywheel, d = 0.40 mrotational inertia of flywheel, I…

Q: In the Olympic hammer throw, a contestant whirls a 7.3‐kg steel ball on the end of a 1.2‐m  cable.…

A: Angular momentum of any object is the product of its radius of rotation with the it linear momentum.…

Q: A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from…

A:

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.