Integrated Concepts - You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm, and you press a steel axe against it with a radial force of 20.0 N. (a) Assuming the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone. (b) How many turns will the stone make before coming to rest?

Integrated Concepts - You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm, and you press a steel axe against it with a radial force of 20.0 N. (a) Assuming the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone. (b) How many turns will the stone make before coming to rest?

Related questions

Q: The Lunar droplet theory proposed that the Moon was part of a liquid and very hot primordial Earth.…

Q: The angular speed of an automobile engine is increased at a constant rate from 1,200 rev/min to 3000…

A: The angular speed of an automobile engine is increased at a constant rate from 1,200 rev/min to 3000…

Q: 4. When a pitcher throws a curve ball, the baseball spins during its travel from the pitcher to the…

A: radius of the ball, r=0.065 m initial speed of the ball, u=83.0 mi/h=37.10 m/s initial angular…

Q: 25 6. At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.3 m…

Q: 16) An object, originally at rest begins spinning under uniform angular acceleration. In 10 seconds,…

Q: A book is placed on the edge of a circular turntable with radius of 2 m, which rotates with constant…

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

Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 51 rev/min. r =…

A: The angular frequency, ω = 51rev/min = 5.34rad/s. The time period of rotation of the wheel is

Q: (a) What is the tangential acceleration of a bug on the rim of a 9.0 in. diameter disk if the disk…

Q: When kicking a football, the kicker rotates his leg about the hip joint. a) If the velocity of the…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: a tire is rotating with an angular velocity that is into the page, then the angular acceleration is…

Q: A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If…

Q: O Macmillan Learning An optical disk drive in your computer can spin a disk up to 10,000 rpm (about…

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: 8. • The tires on a car have a radius of 31 cm. What is the angular speed of these tires when the…

A: Radius of tire (R) = 31 cm = 0.31 cm Angular speed of tire = ? Linear speed (v) = 15 m/s

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: Olympian figure skaters are able to spin at about 4.9 revolutions/s. a) What is the magnitude of…

A: The rate of revolution of the skaters is 4.9 rev/s. The distance of the skater's nose from the axis…

Q: he tires of a car make 88 revolutions as the car reduces its speed uniformly from 92.0 km/hkm/h to…

Q: A child exerts a tangential 63.6 N force on the rim of a disk-shaped merry-go-round with a radius of…

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

Q: The tires of a car make 94 revolutions as the car reduces its speed uniformly from 93.0 km/h to 56.0…

Q: You have a grindstone (a disk) that is 93.0 kg, has a 0.370-m radius, and is turning at 63.0 rpm,…

A: Given Data Mass of the grindstone is m=93.0 kg Radius of the grindstone is r=0.370 m Initial angular…

Q: With the aid of a string, a gyroscope is accelerated from rest to 38 rad/s in 0.36 s. part a) What…

A: Given initial angular velocity = 0 Final angular velocity = 38 rad/s t = 0.36 s

Q: Integrated Concepts - An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What…

A: (a) Given: The final angular velocity is 100000 rpm. Time taken is 2.00 min.

Q: A bicycle tire is spinning counterclockwise at 2.40 rad/s. During a time period At = 1.05 s, the…

Q: The tires of a car make 77 revolutions as the car reduces its speed uniformly from 95.0 km/h to 65.0…

Q: A fan rotates from stillness and reaches an angular velocity of 120 rpm after 20s , then slows down…

A: The calculation for the first 20 s of the motion: From kinematics, the expression for the angular…

Q: You have a grindstone (a disk) that is 89.0 kg, has a 0.370-m radius, and is turning at 63.0 rpm,…

A: Given: The mass of the disk is m=89 kg. The radius is r=0.370 m. The number of turns is ω0=63 rpm.…

Q: A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much…

A: Initial angular speed is Final angular speed is Angular displacement is Diameter of the disk is Mass…

Q: A turntable must spin at 33 turntable is to reach its final angular speed in 2.30 revolutions,…

A: Expression for angular acceleration of the disk is α=ωf2-ωi22∆θ Expression for torque τ=Iα=12md24α…

Q: 6) A car is moving initially at 35 m/s and speeds up so that the 40-cm-diameter wheels have an…

Q: A person is riding a bike with wheels of diameter 23 inches. If the wheels are rotating at 146…

A: Given , Diameter of the wheel D =23 inches Angular velocity = 146 rev/min

Q: A bicycle tire is spinning clockwise at 3.70 rad/s. During a time period At = 2.05 s, the tire is…

A: Given that,∆t=2.05 secInitial angular speed CW, ω0=-3.70 radsFinal angular speed CCW, ωf=3.70 rads

Q: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.59 m and 0.98 m,…

A: Given: R = 7.59 m, f = 456 rev/min r = 0.98 m, f' = 4143 rev/min Speed of sound = 343 m/s

Q: A gyroscope slows from an initial rate of 58.8 rad/s at a rate of 0.801 rad/s². (a) How long does it…

A: Given that: ω=58.8 rad/sα=0.801 rad/s2t=? Since, t=ωαt=58.80.801t=73.408 s

Q: A rope is wound tightly around a 60 kg pulley with radius of gyration of 0.4m and free to rotate…

A: The free body diagram of the pulley-block system is given below.

Q: Your car's speedometer works in much the same way as its odometer, except that it converts the…

A: 1)Write the expression for the speed and substitute the corresponding values to calculate the…

Q: A flywheel in the form of a uniformly thick disk of radius 1.53 m has a mass of 58.6 kg and spins…

A: The torque is the rate of change of angular momentum τ = Idωdt = I.α I = moment of inertia =mr22 α =…

Q: Cyclist! A cyclist starts from rest and pedals such that the wheels of his bike have a constant…

A: Given: The initial angular speed of the cyclist is 0 m/s. The number of revolutions after 14 s is 48…

Q: A toy Ferris wheel that is at rest has a radius of 20.0 cm. A perpendicular force of 1.5 N is…

A: The radius is 20cm Applied force is 1.5N Rotational inertia 0.05 kgm2

Q: A bicycle tire is spinning clockwise at 2.20 rad/s. During a time period At = 2.50 s, the tire is…

A: a) The required change in angular velocity is,

Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Expert Solution