1) A car with tires of radius 25.0 cm accelerates from rest to 30.0 m/s in 10.0 s. When the car's speed is 2.00 m/s find the linear acceleration of the top of the wheel relative to (a) the center of the wheel, (b) the road. (Note that there will be a vertical and horizontal component to the acceleration. 2) The wheel of a car has a radius of 20.0 cm. It initially rotates at 120 rpm In the next minute

Q: During a very quick stop, a car decelerates at 6.75 m/s. (a) What is the angular acceleration (in…

A: Given :  Deceleration (a) = -6.75 m/s2 Radius (r) = 0.250 m Initial angular velocity (wo) = 92 rad/s

Q: At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 7.30 m above…

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Q: Janelle throws the discuss by holding it with a fully extended arm. Starting from rest, she moves…

A: Given data *The given time is t = 1.2 s *The radius of the circle is r  *The angular displacement is…

Q: A car initially traveling at 33.1 m/s undergoes a constant negative acceleration of magnitude 1.70…

A: The initial velocity of the car u = 33.1 m/s Acceleration of the car a = - 1.70 m/s2 Radius of the…

Q: cle crank arm, with a pedal at one end, is attached to a 21-cmcm-diameter sprocket, the toothed disk…

A: Given:-  Assume constant angular acceleration. An 18-cm long bicycle crank arm The diameter sprocket…

Q: A car initially traveling at 29.7 m/s undergoes a constant negative acceleration of magnitude 2.00…

A: Given data The initial velocity of the car is u = 29.7 m/s. The negative acceleration of the car is…

Q: A disk 6.00 cm in radius rotates at a constant rate of 98.0 rev/s about its central axis. (a)…

A: Given:  radius of disc, r = 6 cm = 0.06 m  frequency of rotation, f = 98 rev/s  distance from the…

Q: For the following Q- only need (d) and (e) needs to be answered.  An 8.0 m radius merry-go-round…

A: Given: The radius of the merry-go-round is r = 8 m The time taken to complete one revolution is t =…

Q: If the distal end of a golf club is 1.85 m from the axis of rotation. It completes a downswing in…

A: Given, the distal end of a golf club is 1.85 m from the axis of rotation  let L=1.85 m completes a…

Q: A boy releases his 2.0 kg toy, from rest, at the top of a sliding-pond inclined at 20o above the…

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Q: A solid cylinder rolls down an incline at 23° from rest. (a) What is its acceleration (in m/s)?…

A: Write the torque equation to calculate the static friction force.

Q: To start a lawn mower, you must pull on a rope wound around the perimeter of a flywheel. After you…

A: The object's angular velocity can be said to be the change in the object's angular displacement…

Q: A centrifuge is a common laboratory instrument that separates components of differing densities in…

A: Given data The time taken by the centrifuge is given as t = 11 s. The initial angular speed of the…

Q: Explain the tangential component and normal component of acceleration.

A: The acceleration is defined as,  a¯=ddtv¯ Here, v is the velocity vector.

Q: A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its…

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Q: a) What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter…

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Q: A planet orbits a star, in a year of length 3.48 x 10's, in a nearly circular orbit of radius 1.51 x…

A: Given data: Time period, T=3.48×107 s Radius of the orbit, R=1.51×1011 m

Q: A car initially traveling at 26.2 m/s undergoes a constant negative acceleration of magnitude 1.80…

A: Given data The initial velocity of the car is v=26.2 m/s The accleration is, a=-1.80 m/s2 The radius…

Q: Suppose a roadway is banked at an angle of θ = 11o. A m = 920-kg car rounds a circular roadway. The…

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Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a) What is its angular…

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Q: car is traveling with a speed of 21.0 m/s along a straight horizontal road. The wheels have a radius…

A: Speed of car v = 21 m/s.Radius of wheel R = 0.290 meterLinear acceleration a = 1.40m/s2

Q: In a Bangladesh-Australia cricket match, Sakib Al Hasan throws a ball towards the batsman. The ball…

A: Initial angular speed of ball: ωi=18 rev/s Radius of the ball: r=7.1 cm = 7.1×10-2m Angular…

Q: A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.70…

A:

Q: a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.0-in.-diameter…

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

Q: An ultracentrifuge is a scientific instrument that spins samples at high accelerations to cause…

A: The radial acceleration, ar, of a point rotating with a radius, r, around an axis with an angular…

Q: Find the angular deceleration of the wheel. The acceleration due to gravity is 9.8 m/s. Assume the…

A: Angular Acceleration The angular acceleration of an object rotating about a point is given as the…

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a)What is its angular…

A: SOlution: Given that n = 100000 rpm t = 3.5 min

Q: Current Attempt in Progress At the local swimming hole, a favorite trick is to run horizontally off…

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Q: a) the angular acceleration b) the angle through which each wheel has rotated.

A: Angular Acceleration The angular acceleration of a rotating body is defined as the rate of change of…

Q: A disk-shaped mass, rotating about a central perpendicular axis, has 1.0 m in diameter and an…

A: The equation of motion for the rotational motion is given by  w = wo+ α tθ = wo t +0.5 α t2w2 = wo2…

Q: An athlete swings a 6.00-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A:

Q: While being returned to you your bowling ball rolls with a linear speed of 2.85 m/s. To reach you at…

A: Given Initial velocity u = 2.85 m/s Vertical distance h = 0.53 m

Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades…

A:

Q: A race car accelerates uniformly from a speed of 40 m/s to a speed of 60 m/s in 5 s while traveling…

A: Given that: The initial velocity is u=40 m/s The final velocity is v=60 m/s The time taken is t=5 s…

Q: A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.332 s. (a)…

A: Given Time taken to complete one revolution t=0.332sDistance of point r=4.73cm=0.0473 m

Q: A 100 kg vehicle enters a flat circular turn of radius 5 m. It is initially traveling at 5 m/s…

A: Given data: The mass of vehicle is m=100 kg. The radius of circle is r=5 m. The initial speed is…

Q: A wheel with a radius of 50 cm turning at 240 rpm uniformly increases its frequency to 1320 rpm in…

A: Given information: Here, r is the wheel’s radius, ωi and ωf are the initial and the final angular…

Q: A car initially traveling at 26.2 m/s undergoes a constant negative acceleration of magnitude 1.80…

A:

Q: A young boy swings a yo-yo horizontally above his head so that the yo-yo has a cen- tripetal…

A:

Q: If the forearm rotates about the elbow an angular distance of 13.179 degrees, what is the linear…

A: Given, forearm rotates about the elbow an angular distance of 13.179 degrees    so  θ…

Q: A solid cylinder rolls down an incline at 41° from rest. (a) What is its acceleration (in m/s2)?…

A:

Q: Olympic ice skaters are able to spin at about 10 rev/s. (a) What is their angular velocity in…

A: ω=Angular velocity=10 rev/sr=Radius=0.12 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.