The Moon has a mass of 7.35 × 1022 kg and a radius of 1.74 × 106 m. It orbits around the Earth at a distance of 3.84 × 108 m, completing a full rotation every 27.3 days. It also spins on its axis at a speed such that the same side of the moon is always facing the Earth. What is the angular momentum of the Moon in its orbit around Earth in kg⋅m2/s?  Lorb =  What is the angular momentum of the Moon in its rotation around its axis in kg⋅m2/s?  Lrot =  How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?  Lorb/Lrot =

Q: A thin rod of length 1.50 m and mass 0.200 kg is to be rotated about an axis through its center of…

A: Given,Length of the rod, L = 1.50 mmass of the rod, m = 0.200 kgstarting from rest, ωi = 0…

Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: Calculate angular acceleration and speed. using equation of kinematics :                         θ =…

Q: During a very quick stop, a car decelerates at 6.4 m/s2. Assume the forward motion of the car…

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Q: A bicycle tire is spinning counterclockwise at 3.20 rad/s. During a time period Δt = 2.50 s, the…

A: Given data, Initial angular velocity ωi=3.2 rad/s (c.cw) Final angular velocity ωf=-3.2 rad/s (cw)…

Q: A computer drive disk with a radius of 0.065 m is turned on starting from rest with a constant…

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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: A circular bird feeder 19 cm in radius has rotational inertia 0.17 kg⋅m2. The feeder is suspended by…

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Q: A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the…

A: Initial angular speed (ω0)=0rad/sAngular speed after 45s(ω)=17rpm=17×2π60s=1.78rad/s∴ Average…

Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…

A: initial angular speed (w) = 0 final angular speed = 120 rev/min  = 2 rev/sec  = 12.57 rad/s t = 20…

Q: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…

A: Given Data:- Mass of the merry-go-round is M=120 kg Radius of the merry-go-round is R=1.80 m Initial…

Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…

A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavyweight in…

A: L: angular momentum Just as p = mv, L = Iω, I = sum of mr² L₀ = 2mr₀²ω₀ Lf = 2mrf²ωf

Q: A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.…

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Q: David is getting ready to take down the mighty Goliath. David ties a 583 g rock to a rope that is…

A: Given:Mass of the rock = 583 gLength of the rope = 2.3 mInclination of rope below the horizontal =…

Q: A rigid CD of radius 5 cm starts at rest. After 50 complete revolutions, the linear speed of the…

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Q: A freely rotating satellite leaves the cargo bay of the space shuttle. The satellite makes 2…

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Q: A 35-kg child stands on the edge of a playground merry-go-round that has a radius of 2.1 m and a…

A: The mass of the child: The radius of the merry-go-round: The rotational inertia: The initial…

Q: playground merry-go-round with a mass of 110 kg and a radius of 1.8 m is rotating with a frequency…

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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…

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Q: An automatic dryer spins wet clothes at an angular speed of 5.6 rad/s. Starting from rest, the dryer…

A: Angular speed "wf"= 5.6rad/s . average angular acceleration"a"= 3.5 rad/s².

Q: Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29 h exerting a force…

A: It is an easy question. Now first thing we have to do is to convert time period to angular velocity…

Q: A Ferris wheel rotates at an angular velocity of 0.30 rad/s. Starting from rest, it reaches its…

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Q: Ferris wheel rotates at an angular velocity of 0.29 rad/s. Starting from rest, it reaches its…

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Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: See below

Q: A playground merry-go-round has radius R = 2 m and moment of inertia I = 250 kg · m². The…

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Q: A disk of mass 3.0 kg and radius 70 cm is rotating at 2.4 rev/s. A small mass of 0.08 kg drops onto…

A: Law of Conservation of Angular Momentum According to the law of conservation of angular momentum, if…

Q: In Star Trek: The Next Generation, a Borg Cube is a cubical structure of 3.036 km on a side and…

A: Given, M=9.0×1010 kgV=27 km3a=3.036 km

Q: Mary and her younger brother Alex decide to ride the 17-foot-diameter carousel at the State Fair.…

A: (a) In a uniform circular motion, angular velocity is uniform. This means equal changes in angular…

Q: A merry-go-round with a moment of inertia equal to 1300 kg⋅m2 and a radius of 2.5 m rotates with…

A: The momentum of inertia of the merry-go-round isI1=1300 kg·m2The radius of the merry-go-round…

Q: Martian Day. What is the angular speed in rad/s for a point on the surface of Mars due to its…

A: Given : Radius (R) = 3400 km  Time (T) = 24.6 h = 24.6 x 60 x 60 T = 88560 seconds

Q: A discus thrower is pivoting about their long axis. The thrower is creating an angular acceleration…

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Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

A:

Q: A 10 kg wheel with a 0.4 meter radius is rotating at 4 rad/s. A 8 Nm torque is applied to the wheel.…

A: Given: Mass of wheel, m=10 kg Radius of wheel, r=0.4 m Angular speed, ω=4 rad/s Rotational inertia,…

Q: What is the magnitude of the average angular velocity of the eye?

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Q: A playground merry-go-round with a mass of 145 kg and a radius of 1.9 m is rotating with a frequency…

A: mass of merry go round = 145 kg radius = 1.9 m angular velocity = 0.56 rev/sec mass of child = 24 kg…

Q: A playground merry-go-round with a mass of 150 kg and a radius of 1.5 m is rotating with a frequency…

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Q: A bicycle wheel spins with an angular momentum of L = 5.0 kg⋅m2 /sIf the wheel has mass m = 2.4 kg…

A: Given that angular momentum of the bicycle wheel and mass of the wheel and also given the radius of…

Q: A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg m rotates with an angular…

A: Given:-            radius of the disk = 25.0 cm             rotational inertia I1 = 0.395 kg/m2…

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

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Q: We have a rod-shaped space station of length 687m and mass 5.35 x 10^6 kg, which can change its…

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Q: The flagella of a bacterium can rotate very rapidly. If a flagellum rotates at a uniform angular…

A: Angular speed is 1000rad/s (uniform) Angular displacement is 0.5 rev

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

A:

Q: hree children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m,…

A: Given: The mass of the merry-go-round is 96 kg. The radius of the merry-go-round is 1.1 m. The mass…

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: A student sets a top spinning clockwise at 218 rad/s. The top gradually slows down as it rotates…

A:

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.