What is the linear speed of a child on a merry-go-round of radius 3.0 m that has an angular velocity of 4.0 rd/s? A. 10 m/s B. 0.75 m/s C .12 m/s D.13.0 m/s

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

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Q: 1. A tire rotates at a constant 1.7 radians angle every 0.15 s. A) What is the tire's angular…

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Q: 8) A 30-cm-radius wheel is rotating with an angular speed of 12 rad/s. It experiences a constant…

A: (a) The expression for the angular acceleration of the wheel can be written as ω=ω0+αtα=ω-ω0tα=1…

Q: What is its angular velocity and frequency? What is its moment of inertia? What is its angular…

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Q: A rotating object's angular position is given by 8(t) = (1.64t2 - 7.75t + 2.55) rad, where t is…

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Q: 42. A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular…

A: Please see the answer below

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that…

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Q: 1. During a very quick stop, a car decelerates at 12 m s? (a) What is the angular acceleration of…

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Q: 2) After using your DVD player to watch a movie, you pressed the "stop" button, and the disc started…

A: Initial angular velocity wo=30 rad/s and constant angular deceleration α=-10 rad/s2. We need to find…

Q: 7) A 25-cm-radius wheel is rotating with an angular speed of 16 rad/s. It experiences an angular…

A: Given data: Radius of wheel is, r=25 cm =0.25 m. Initial angular speed is, ω1=16 rad/s. Angular…

Q: A Ferris wheel rotates at a maximum angular speed of 1 revolution every 2 minutes. The angular speed…

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Q: 10. A motor is used to turn a flywheel, which has a radius of 0.3 meters. The Flywheel starts from…

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Q: 4. When a fan is turned off, its angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s. a) What…

A: The angular acceleration is defined as the time rate of change of angular velocity. Mathematically…

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: |Q5: An object moves from a great angular speed (@1) to a small angular speed (@2) within 10 s, (aw,…

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Q: 9. A ball of 500 g is attached to a string and starts from rest and speeds up with a constant…

A: Given data: The mass of the ball, m=500g. The constant tangential acceleration of the ball, a=3.00…

Q: Rotational motion. I need help with #4

A: Answer

Q: 1. The 8ft rod slides down the plane shown with v₁- 12 ft/sec to the left and aA-15 ft/sec² to the…

A: Given: velocity: 12 ft/sec Acceleration: 15ft/sec Relation between angular parameter and linear…

Q: Starting at rest, a circular disk with a radius of 2.0 m rotates with a constant angular…

A: Tangential acceleration is given by the formula, at=α r where α is angular acceleration and r is…

Q: A washing machine is revolving at 1200 rpm slows down uniformly to 600 rpm while making 60…

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Q: Large freight trains accelerate very slowly. Suppose one such train accelerates from rest, giving…

A: (a) The relationship between distance and rotation angle is given by, θ=xr Solving this equation for…

Q: 4. You have finished watching a movie on Blu-ray and the disc is slowing to a stop. The disc's…

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Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Given, the radius of the bacterial motor is r and the tangential speed at the rim is v:

Q: A cyclist accelerates from rest. After 12 s, the wheels made 5 rev. (a) What is the angular…

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Q: 3) A disk starts to rotate about its central axis from rest and accelerates with constant angular…

A: Given, Initial angular speed  ω0=6 rev/s final angular speed ω=14 rev/s Angular displacement θ=40…

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Consider the angular speed of the bacterial motor be ω0, the angular speed of the rim of the…

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A:

Q: A disk starts to rotate about its central axis from rest and accelerates with constant angular…

A: ωi=Initial angular velocity=6 rev/sθ=Angular displacement=40 revωf=Final angular velocity=14…

Q: A gyroscope slows from an initial rate of 32 rad/s at an angular acceleration of 0.74 rad/s2.…

A: Given data:  Initial angular velocity (ω0) = 32 rad/s Angular acceleration (α) = -0.74 rad/s2 Final…

Q: Large freight trains accelerate very slowly. Suppose one such train accelerates from rest, giving…

A: Given information: Here, r is the wheel’s radius, and α is the wheel’s angular acceleration.

Q: 10) Angular and Linear Quantities: A child is riding a merry-go-round that has an instantaneou…

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Q: What is the angular velocity of a ball that starts at rest and rolls for 5 seconds with a

A: Time t = 5 sec  Angular acceleration = 20 rad/s2 initial angular velocity, = 0 rad /sec.

Q: 2. A wheel of radius 20 cm is initially rotating at 12 rpm. It then speeds up at a constant rate,…

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Q: (a) What is Mary's angular speed ?M and tangential speed vM? ?M =  rev/s vM =  m/s (b) What is…

A: a.  Distance of mary r1= 2.0 m  Distance of alex r2= 1.5 m Calculation of the angular speed (?) We…

Q: Suppose a yo-yo has a center shaft that has a 0.260 cm radius and that its string is being pulled.…

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Q: 7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels…

A: Given Information:- Initial angular velocity of the cyclist is ωi=0 Angular acceleration is α=1.70…

Q: (II) A child rolls a ball on a level floor 3.5 m to another child. If the ball makes 12.0…

A: The Length covered by the ball is equal to the product of the number of revolutions of the ball and…

Q: At the Olympics, a discobolus “discus thrower" starting from rest, spins up to an angular velocity…

A: w =  20 rad/sec v = 18 m/s angle = 30 degree

Q: A spinning wheel initially has an angular velocity of 50 rad/sec east; 20 seconds later, its angular…

A: Given:intial angular velocity, ω0 = 50 rad/sec  Eastfinal angular velocity, ωf = 50 rad/sec WestNow,…

Q: 2. A wheel of radius 20 cm is initially rotating at 12 rpm. It then speeds up at a constant rate,…

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Q: 1. A disk that is 3 m in radius spins at the rate of 5 revolutions per second. a. What is its…

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

Q: 1. A bicycle mechanic mounts a bicycle on the repair stand and starts the rear wheel spinning from…

A: ωi=Initial angular velocity=0ωf=Final angular velocity=250 rpm=250×2π60 rad/st=Time=5 sα=Angular…

Q: 4. A disc of radius 0.5 m starts from rest and accelerates with a constant angular acceleration of 1…

A: Solution: Given that angular acceleration = 1 rad/s2 radius = 0.5 m

Q: Q3/ A rest particle was accelerated by a circular path of radius 5 m, according to equation…

A: Given, Acceleration, α=40t3-5t2+8t+2 Radius, R=5 m

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.