A rotating wheel requires 3.00 s to rotate through 37.0 revolutions. Its angular speed at the end of the 3.00-s interval is 98.0 rad/s. What is the constant angu- lar acceleration of the wheel?

Q: ) What is the magnitude of the tangential acceleration of a bug an the rim of an 11.5-indameter disk…

A: As per our guidelines we will solve first three subparts for you. To get remaining subparts solved…

Q: A ballet dancer performs a triple pirouette (3 full rotations) in 2.75 seconds, what was his angular…

A: one rotation =3600 three rotations =3*3600                           =10800…

Q: of the llowing the angular speed of a Tiywi wnen it has made one revolution The flywheel starts from…

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,550 rev/min, clockwise (when…

A:

Q: During a certain time interval, the angular position of a rotating disk is described by =20-t+3r If…

A: Angular position of rotating disk is given by : θ = 20 - t + 3t3Diameter = 22 cm Radius = 11 cm =…

Q: Express the angular speed of 40 degrees per second in (a) rev/s, (b) rpm, (c) rad/s.

A: (given) Angular speed = 40 °/s (a)                   1°/s = 0.00277777 rev/s Angular speed of 40 °/s…

Q: Suppose a teenager puts her bicycle on its back and starts the rear wheel spinning from rest to a…

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Q: A point along the minute hand of a clock covers an area of 12π cm2 at a certain time. What is the…

A: We know ,  Minute hand complete a full revolution  in one hour .   Total angle rotated by minute…

Q: A disc, with a non-zero initial angular velocity, undergoes a constant angular acceleration for T…

A: using equation of motion w = wo + αtwhere w is the final velocity wo is the initial angular velocity…

Q: A wheel moves uniformly from rest to an angular speed of 162rev/s in 27s. What is angular…

A: Angular position of an object is referred as position of an object measured from an axis by rotating…

Q: A wheel makes 69.169.1 rotations during 5.59 s.5.59 s. What is the average angular velocity ?avωav…

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Q: A engine wheel with 2 meter radius starts and rotates with an accleration of 5 rads/s2. whats the…

A: Angular acceleration α=5 rad/s2 Time t=5 s Radius r=2 m

Q: A pulley 320 mm in diameter and rotating initially at 4 rev/s receives a constant angular…

A: diameter (d) = 320 mm radius (r) = 160 mm = 0.16 m initial angular velocity (ω) = 4 revsecAngular…

Q: angular acceleration at t = 1.22 s. (e) Is its ang

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Q: A merry-go-round rotates from rest with an angular acceleration of 1.28 rad/s2. How long does it…

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Q: During the spin-dry cycle of a washing machine, the motor slows from 93.0rad/s to 31.0rad/s while…

A: Given data:  Initial angular velocity (ωi) = 93.0 rad/s Final angular velocity (ωf) = 31.0 rad/s…

Q: The runaway merry-go-round motor spin changes from 1.5 rpm to 9.5 rpm in .15 min. What is its…

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Q: A drill bit is initially rotating with an angular speed of 96rau What is its angular velocity if it…

A:

Q: A rope wrapped around a 5-kg circular drum pulls with a tension of 400 N. If the radius of the drum…

A: Given data: Mass (m) = 5 kg Force (F) = 400 N Radius (r) = 20 cm = 0.20 m Angle between force and…

Q: nat is its angular acceleration? L09 rad/s? w much time is required for it to complete the first 29…

A: Given:-  The flywheel turns n = 58 rev  the initial angular speed of the wheel = 3.0 rad/s  Find;-…

Q: ntist's drill starts from rest and undergoes uniform angular acceleration t turms at a rate 10…

A: The angular acceleration is the time rate of change of the angular velocity. Here, we calculate the…

Q: A rotating wheel requires 3.00 s to rotate 37.0 revolutions.Its angular velocity at the end of the…

A: Write the expression for the angular velocity of the wheel.

Q: A track star runs a 275 m race on a 275 m circular track in 30 s. What is his angular velocity (in…

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Q: A wheel witha radius 0.54 rolls across the level ground, initially moving forward with a speed of…

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Q: In the shown figure, the two pulleys are connected by a crossed belt. If the angular acceleration of…

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Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to a constant…

A: Angular velocity = W0 = 17 rad/s angular acceleration = α= 7 rad/s2 number of revolutions = n = 3…

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.70rad / (s ^ 2) for…

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Q: The equation between displacement 0 of a rotating body moving with constant angular acceleration a…

A: Given data: Constant acceleration = α Time = t Initial angular speed = ωi Need to write the equation…

Q: As you switch a fan setting from its slowest speed to its highest,its angular speed v triples. (a)…

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Q: A car rounds a curve with a translational speed of 11.0 m/s. If the radius of the curve is 5.00 m,…

A: Given v = 11 m/s Radius r = 5 m

Q: A DVD which has a diameter of 12 cm is initially at rest so that the line PQ on the disc’s surface…

A: az=Angular acceleration=5 rad/s2t=Time=0.4 sωi=Initial angular velocity=0ωf=Final angular…

Q: A centrifuge rotor is accelerated for 10 s from rest to 1000 rad/s. What is the average angular…

A: The final angular speed, ωf=1000 rad/s   The initial angular speed, ωi=0 rad/s   The time taken,…

Q: A disk rotating at 30rad/s slows to 20rad/s while turning through 60 revolutions. How long does this…

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Q: A wheel with a radius of 0.4 meters initially at rest and begins to accelerate at 4 rad/s2. How many…

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Q: At t = 0, a wheel (Jac) rotating about a fixed axis at a constant angular acceleration has an…

A: Given: Initial angular speed=ωi=2 radsec Time=t=2 sec

Q: A merry-go-round rotates from rest with an angular acceleration of 1.50 rad/s2. How long does it…

A:

Q: If a flywheel is initially moving at an angular velocity Wi = 10 rad/s and accelerates to a final…

A: α = (Wf - Wi)/t  α = (400 - 10)/3α = 130rad/s2

Q: A shaft is turning at 65 rad/s at time t=0. Thereafter, its angular acceleration is given by α = -10…

A: a) The required angular speed is,

Q: If a 32.0 Nm torque on a wheel causes angular acceleration 25.0 rad/s2, what is the wheel’s…

A: Write the expression for torque

Q: An airplane propeller is rotating at 1900 rpm (rev/min). (a) Computethe propeller’s angular velocity…

A: (a)  For conversion of rev/min to rad/s , In 1 rev there are 2π rad.  In 1 min there are 60 seconds.…

Q: During the spin-dry cycle of a washing machine, the motor slows from 98.0rad/s to 36.0rad/s while…

A:

Q: A grindstone, initially at rest, is given a constant angular acceleration so that it makes 5.20 rev…

A:

Q: Starting from rest, a wheel with a radius of 0.48 m begins to roll across the ground in a straight…

A: From Kinematic equation for rotational motion,  ω2 = ω02 + 2αθ Given parameters, Radius of wheel  r…

Q: The angular speed of the shaft of a car's engine is 360 rad/s. How many revolutions does it complete…

A:

Q: A flywheel slows from 570 to 422 rev/min while rotating through 170 revolutions.  What is the…

A: Given : ωi = 570 rev/min ωf = 422 rev/min θ = 170 rev

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.