A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s4. What the time interval required for it to reach a 4.2-rad displacement after starting from rest? A 1.8 s B 16 s C) 2.0 s D 18 s

Q: A wheel 30 cm in diameter accelerates uniformly from 250 rpm to 380 rpm in 6.2 s .How far will a…

A: The objective of the question is to find out the distance traveled by a point on the edge of the…

Q: A compact disc in a turntable rotates through 6.0 rad in 4.4 s as it is accelerated uniformly from…

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Q: An object moves uniformly around a circular path of radius 22.0 cm, making one complete revolution…

A: Given that: Radius of circular path, r = 22 cm=0.22 m One revolution complete, t = 2.2 sec

Q: A phonograph record accelerates from rest to 36.0 rpm in 3.83 s. (a) What is its angular…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 36.0 rpm Time (t) =…

Q: A turntable is off and is not spinning. A 0.9 g ant is on the disc and is 14 cm away from the…

A: The objective of the question is to find the angular velocity, tangential velocity, and tangential…

Q: A 4.1-m-diameter merry-go-round is initially turning with a 4.4 s period. It steadily slows down and…

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Q: A boy is riding his bike at 23 m/s if his wheels radius is .7 meters.a. What is the rotational speed…

A: Given information: The velocity of the bike (v) = 23 m/s The radius of the wheel (r) = 7 m

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 550 rev/min to 200…

A: Given: Initial angular velocity of the fan after switching off is ω0 = 550 rev/min      =9.167…

Q: A 5.4-m-diameter merry-go-round is initially turning with a 4.1 s period. It steadily slows down and…

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Q: A grinding wheel, initially at rest, is rotated with constant angular acceleration α = 7.0 rad/s^2…

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Q: A truck with 0.335 m radius tires travels at 41.0 m/s. At how many radians per second are the tires…

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

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Q: A phonograph record accelerates from rest to 35.0 rpm in 3.73 s. (a) What is its angular…

A: The initial angular speed is, ωi=0 The final angular speed is, ωf=35 rpm=3.665 rad/s The time…

Q: A disk spins at 4.0 revolutions/second. What is its period, in second?

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Q: The crankshaft in a race car goes from rest to 3000 rpmrpm in 3.5 ss. What is the angular…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 3000 rpm. The time interval…

Q: A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min.  When switched…

A: Let the initial and final angular velocities of the centrifuge be denoted as ωo and ωf .Let the…

Q: A high-speed dental drill is rotating at 3.14 × 104 rad/s. Through how many degrees does the drill…

A: angular speed of drill w=3.14×104 rad/stime t=1.0sec

Q: At time t=0s, a grinding wheel has an angular velocity of 23.6rad/s which is still increasing at a…

A: It is given that  ωo=23.6 rad/sα=2.3 rad/s2t=2.8 s The velocity from 0 to 2.8 s…

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: The blades in a blender rotate at a rate of 4.250 E+3 rpm. When the motor is turned off during…

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Q: A record rotates through 5.6 radians as it slows down uniformly from 78.0rpm to 22.8 rpm. What is…

A: The objective of the question is to find the magnitude of the angular acceleration of the record. We…

Q: A record on a turntable is spinning and coming to rest. At t=0 s, the angular velocity of the record…

A: Given Initial angular speed = 20.0 rad/s angular acceleration = - 5.0 rad/s2 We have to calculate…

Q: A record on a record-player rotating at 6.0 rad/s slows to a stop in 5 s. If the acceleration is…

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Q: A 30kg child sits on the edge of a merry-go-round with a radius 5.0m. The merry-go-run rotates as…

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Q: An industrial chain is wrapped around the periphery of a 1.5 m radius cylinder, free to rotate on…

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Q: A phonograph record accelerates from rest to 40.0 rpm in 5.33 s. (a) What is its angular…

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

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Q: A computer hard disk starts from rest, then speeds up with an angular acceleration of 190 rad/s2…

A: Formula of angular displacement is as follows; θ=ω0t+12αt2…

Q: and is not spinning. A 0.2 g ant is on the disc and is 5 cm away from the center. The turntab…

A: GivenMass of ant=0.2 g=0.2×10-3 kgDistance of ant from center, r=5 cm=0.05 mAfter , t=0.6 s ,…

Q: A thread is wrapped around a cylindrical spool, of radius R = 2.0 cm, whose central axis is fixed on…

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Q: A phonograph record accelerates from rest to 36.0 rpm in 4.53 s. (a) What is its angular…

A: initial angular velocity (ωo) = 0 radsecfinal angular velocity (ω) = 36 rpm time = 4.53 sec

Q: Situation 7. The rotation of a flywheel is governed by the equation w=5√t, wis in rad/sec and t is…

A: Given, ω=5tand when t=1 sec, θ=3.8 rad

Q: 6. A centrifuge in a lab rotates at an angular speed of 6500 rev/min. When switched off it rotates…

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Q: A figure skater begins spinning counterclock- wise at an angular speed of 4.9 T rad/s. Dur- ing a…

A: Given, Initial angular speed,ωi=4.9π rad/s Final angular speed,ωf=7.3π rad/s Time,t=4.8 s

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.