To avoid the cold in December, Ashley decides to travel to the Sydney, Australia. She decided to relax on the Bronte Beach and wonders about the rotational motion of the Earth. What will she determine for the angular speed of the Earth as the Earth spins about its axis?

Q: What is the instantaneous angular speed?

A: Instantaneous change in angle, dθ, and divide it by the instantaneous change in time, dt, we get the…

Q: A rectangular plate swings from arms of equal length as shown. What is the magnitude of the angular…

A: Since the plate swings by the arms and arms have equal length, the plate will be in symmetry.

Q: The Earth takes 24h to complete one rotation about the axis passing through its poles. What is the…

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Q: Two children are playing tetherball, in which a ball at the end of a cord spins around a pole. After…

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

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Q: A dancer is spinning with his arms extended. In this position his rotational inertia is 1.5 kg m?.…

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Q: A wheel accelerates with a constant angular acceleration of 4.5 rad/s^2. If the initial angular…

A: Given data:  Angular acceleration (α) = 4.5 rad/s2 Initial angular velocity (ωi) = 1.0 rad/s Time…

Q: A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate…

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Q: A figure skater is spinning with an angular velocity of +17.5 rad/s. She then comes to a stop over a…

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

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

A: Formula to calculate the final angular speed of the drill is,

Q: The angular velocity of a merry-go-round is increased from 0.43 rad/s to 1.5 rad/s with a constant…

A: Given,     Initial angular velocity ω1=0.43 rad/s      Final angular velocity ω2=1.5 rad/s     Time…

Q: A drill starts from rest. After 4 s of constant angular acceleration, it turns at a rate of 2.5x104…

A: initial angular velocity,wi=0 rad/sFinal rotational speed,Nf=2.5×104 rev/minFinal angular velocity…

Q: A father fashions a swing for his kids out of a long rope that he fastens to the limb of a tall…

A: The tangential speed at the bottom of the swing is, v=7.8 m/s The radius of the swing's circular…

Q: A battery-driven Percy engine goes around a track (radius 27 cm) in 67 seconds. What is its angular…

A: Given: The radius is R=27 cm. The time taken by engine is t=67 s.   (a) The expression to…

Q: A dentist's drill starts from rest. After 3.30 s of constant angular acceleration, it turns at a…

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Q: A car starts from rest and accelerates uniformly with no slipping between the tires and road. If one…

A: The wheel has an angular acceleration…

Q: A merry-go-round is spinning at a rate of 4.0 revolutions per minute. Cora is sitting 0.5 m from the…

A: 1) rotational speed of the two children are equal because both of them are sitting on the same merry…

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

A: Initial angular speed,  Time,  Angular displacement,    Applying the second equation of motion, we…

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 figure skater is spinning with an angular velocity of +13.3 rad/s. She then comes to a stop over a…

A: Given data: Initial angular velocity of the skatter is, ω0=+13.3 rad/s Final angular velocity of the…

Q: A-B

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Q: A drill starts from rest. After 4s of constant angular acceleration, it turns at a rate of 5x104…

A: Given, Initial angular velocity is wi = 0 final angular velocity is wf = 5 x 104 rev/min wf = 2π60 x…

Q: A playground merry-go-round makes two complete rotations in 9.6 s. What is its angular velocity?

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Q: a skater rotating at 7.25 rad/s with her arms extended has rotational inertia of 3.4 kg m square. if…

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Q: An object completes 0.5 revolution in half a minute. What is its approximate angular velocity?…

A: Answer:-  (c) 0.10 rad/s  Given Frequency(f) = 0.5 revolution in half a minute    f = 0.5 rev/30sec…

Q: The Earth takes one day to complete one rotation about the axis passing through its poles. What is…

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Q: 10. a dvd starts spinning and reaches an angular speed of 147 radians/second in 4 seconds. calculate…

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Q: A dentist's drill starts from rest. After 3.20 s of constant angu- lar acceleration, it turns at a…

A: Given: The time duration is 3.20 s. The angular speed is 2.51x104 rev/min.

Q: 2. An ice skater starts her spin with ams outstretched, rotating at 1.5 rev/s. Estimate her…

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

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Q: You start riding a moped, the wheels begin at rest and have an angular acceleration of 3.5…

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Q: A figure skater is spinning with an angular velocity of +16.5 rad/s. She then comes to a stop over a…

A: (a) Average angular acceleration is,

Q: A 6.76 kg disk makes 4.00 rev starting from rest. Calculate the radius of the disk if it has a…

A: Write the expression for rotational kinetic energy.

Q: A child on a rotating ride at a fairground has a constant angular acceleration of -0.20 rad/s2 and…

A: Use the equation of motion to solve for the final position of the child on the ride. θ=θ0+ωt+12αt2…

Q: A 6.76 kg disk makes 4.00 rev starting from rest. Calculate the radius of the disk if it has a…

A: The expression for rotational kinetic energy, KE=12Iω29.89=12×I×(4×2×3.14rad/s)2 I=0.0313kg/m2

Q: The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant…

A: Consider the equation for rotational motion. Rearrange equation (I) to find the angular…

Q: A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate…

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Q: 2. The angular velocity of the disk is defined by w (5te + 2) rad/s, where t in seconds. Determine…

A: Given, Radius of the disk = 0.8 m angular velocity of disk w = (5 t² + 2) rad/s magnitude of…

Q: A motor rider notices that the wheels of his road bike make 18 rev in 20 s. What is the average…

A: Given, the angular speed of the wheel is 18 rev per 20 s.

Q: A wheel rotates with the constant angular acceleration of 2.00 rad/s*^2. If the angular speed of the…

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Q: A kid is playing on a sit and spin and has a angular speed of 12 rev/min. After 25 revolutions, the…

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Q: A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30…

A: Use the rotational analogue of the first kinematic equation expressed as,

Q: If a skater who is spinning pulls her arms in so as to reduce her rotational inertia by half, by how…

A: A skater who is spinning pulls her arms in so as to reduce her rotational inertia by half. According…