An automobile traveling at 87.7 km/h has tires of 75.0 cm diameter. What is the angular speed of the tires about their axles?   If the car is brought to a stop uniformly in 30.0 complete turns of the tires (without skidding), what is the magnitude of the angular acceleration of the wheels?   How far does the car move during the braking?

Q: A car initially traveling at 26.2 m/s undergoes a constant negative acceleration of magnitude 1.60…

A:

Q: During Charlie’s golf drive, the angular velocity of his club is zero at the top of the backswing…

A: Given data The angular velocity at the top of the backswing is: ωo = 0 rad/s The angular velocity at…

Q: What is the tangential acceleration of a bug on the rim of a 10.0 inch diameter disk if the disk…

A: Given:-   A bug on the rim of an r = 10.0-inch= 0.254 m  diameter disk if the disk accelerates…

Q: A car initially traveling at 30.7 m/s undergoes a constant negative acceleration of magnitude 1.40…

A:

Q: An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of…

A:

Q: car starts from rest and accelerates to 40 m/s in 8 s. how many REVOLUTIONS have the tires (that…

A:

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: What is the magnitude of the angular acceleration of a car following a curve of radius 500 m at a…

A: SOlution: Given that car moving in the curve r =500 m v = 25 m/s

Q: A car traveling at 40 m/s has tires of radius 0.30 m. If the tires roll without slipping, what is…

A:

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: 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: 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 circular pulley of radius 0.35 [m] can rotate on frictionless bearing. A massless string passes…

A: from kinematic equation of motion          v² - u² = 2as           92 - 02 = 2×a x 4             a =…

Q: A bicycle has tires of radius 0.35 m. If the bicycle is traveling at a constant speed of 12 m/s, at…

A: Solution: Given that R = 0.35 m V = 12 m/s

Q: A boy rides his bicycle which has wheels of radius 31.0 cm. If the boy accelerates from rest to a…

A: Radius = r = 31 cm = 0.31 m Initial speed = v1 = 0 m/s Final speed = v2 = 11.8 m/s Change in speed =…

Q: A car travelling at 108 km/h . Given the the tires on the car have radius of 40 cm , what is their…

A: Given data: The speed of the car is V=108 km/h. The radius of the tire of the car is R=40 cm.…

Q: An automobile traveling at 40.0 km/h has tires of 90.0 cm diameter. (a) What is the angular speed of…

A:

Q: A skater during her finale can increase her rotation rate from an initial rate of 0.4 rot/sec to a…

A:

Q: An old-style elevator is connected to a counterweight by a cable that passes over a rotating disk…

A: Given data: The diameter of the disk is d=2.50 m. The velocity of the disk is v=25 cm/s

Q: A pulley 320 mm in diameter and rotating initially at 4 rev/s receives a constant angular…

A: diameter (d) = 320 mm radius (r) = 160 mm = 0.16 m initial angular velocity (ω) = 4 revsecAngular…

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: A wheel has a constant angular acceleration of 5 rad/s2 in the clockwise direction and an inital…

A: Given data:Initial angular velocity = 40 rad/sFinal angular velocity = 0 rad/sTaking the direction…

Q: Suppose the moment of inertia of an ice skater is 0.80 kg·m2 when her arms and legs are pulled in,…

A:

Q: A playground merry-go-round of radius R = 4.00 m has a moment of inertia | = 250 kg m² and is…

A: Given data: Radius of merry-go round is, R=4.00 m. Moment of inertia is, I=250 kg·m2. Revolution of…

Q: A rope is wrapped around a circular pulley such that its acceleration is given by a = 10t (in m/s2,…

A:

Q: The propeller of a World War II fighter plane is 2.49 m in diameter. (a) What is its angular…

A: Given, diameter of the propeller is d=2.49 m so radius will be r=d/2 =1.245 m If N is revolution per…

Q: What is the tangential speed and tangential acceleration midway of the blade?

A:

Q: A ballerina with an angular velocity of 1000°/s with her left hip in 90° flexion and knee fully…

A:

Q: An 8.00-cm-diameter, 370 gg solid sphere is released from rest at the top of a 1.50-m-long, 20.0 ∘∘…

A: Given data : The diameter of the solid sphere is given as d = 8cm d=8cm; r=d2=8cm×1m100cm2=0.04cm…

Q: A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.80…

A: Given: The initial velocity of the car is vi=24.2 m/s, The acceleration is a=-1.80 m/s2.

Q: At a time of t=0 seconds the tires of a moving motorcycle are rotating with an unknown initial…

A: let initial angular speed = woα = 3 rev/s2α = 3 * 2π rad/s2α = 18.85 rad/s2t = 5 sec number of…

Q: Energy is to be stored in a 50 kg flywheel in the shape of a uniform solid disk with a radius 1.20m.…

A: Given data: Mass (M) = 50 kg Radius (R) = 1.20 m Radial acceleration (aR) = 3500 m/s2 Required: The…

Q: A 25.0 cm radius wheel rolls from rest up to a speed of 6.00 m/s while traveling a distance of 10.0…

A: Determine the circumference of the wheel. Determine the number of rotations of the wheel.

Q: The initial angular velocity of the propeller of the boat is 80 rev/min and was increased to 120…

A: Given data: Initial angular velocity ωi=80 rav/min=80×2π=8.37 rad Final angular velocity ωf=120…

Q: to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of…

A: The torque applied by the force M can be represented as, Hare, r represents the force’s distance…

Q: the knee extensors insert on the tibia at an angle of 30 degrees (from the longitudinal axis of the…

A: Given an object of mass m, an effective radius r can be defined for an axis through its center of…

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

A:

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 turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first…

A:

Q: The flywheel of an engine has a moment of inertia of 5 kg.m2 about its axis of rotation. What…

A: Torque is given by  torque = moment of inertia x angular acceleration

Q: A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of…

A:

Q: The flywheel of an engine has moment of inertia 1.10 kg⋅m2 about its rotation axis. What constant…

A: The moment of inertia of the flywheel is 1.10kgm2, and angular velocity is 400 rev/min.Write the…

Q: With the aid of string , a gyroscope is accelerated from rest ro 32 rad/s in 0.41 s. What is the…

A: Given: The initial angular velocity is 0 rad/s. The final angular velocity is 32 rad/s. The time…

Q: A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the…

A: