A drill bit is initially rotating with an angular speed of 96rau What is its angular velocity if it rotates 480 radians with a constant angular acceleration of 22 rad ?

Q: A circular saw blade 0.250 mm in diameter starts from rest. In 6.50 ss , it reaches an angular…

A: Given data:  Diameter (d) = 0.250 m Initial angular velocity (ω0) = 0 rad/s Time (t) = 6.50 s Final…

Q: The angular velocity of a rotating disk at t=0 is 27.5rad/s and its angular acceleration is constant…

A: The rotational kinematics equation of motion is defined as ω=ω0+αtω2=ω02+2αθ Here ω0 is the initial…

Q: The tangential velocity of the car's tire is 65 m/s. What is its diameter if the angular velocity is…

A:

Q: A solid sphere of mass 2 kg and diameter 15 cm rotates about its center at rate 2 rad/s.  What is…

A: Given: The mass of the sphere is 2 kg. The diameter is 15 cm. The angular speed is 2 rad/s.

Q: A track star runs a 220 m race on a 220 m circular track in 24 s. What is his angular velocity (in…

A: Given Time t=24s Length of track L=220m

Q: A point along the minute hand of a clock covers an area of 12π cm2 at a certain time. What is the…

A: We know ,  Minute hand complete a full revolution  in one hour .   Total angle rotated by minute…

Q: a cyclist averages 99 rpm during a race. what was his angular velocity in radians per second?

A:

Q: A turn table starts from rest and reaches 10 rad/s of angular velocity in 5.0 s. Find the angular…

A:

Q: A wheel moves uniformly from rest to an angular speed of 162rev/s in 27s. What is angular…

A: Angular position of an object is referred as position of an object measured from an axis by rotating…

Q: A wheel is reaching to an angular velocity of 20 rad/s in 10 seconds from rest. Find its angular…

A: Angular velocity of wheel is 20 rad/s Time taken by wheel is 10 s

Q: The disk has an angular acceleration a =8 rad.s2 and an angular velocity w =2rad.s1 at the instant…

A: Given:- The radius r= 0.5 m  The angular velocity =2 rad/sec The angular acceleration = 8 rad/s2…

Q: A engine wheel with 2 meter radius starts and rotates with an accleration of 5 rads/s2. whats the…

A: Angular acceleration α=5 rad/s2 Time t=5 s Radius r=2 m

Q: A disk, 12 cm in radius, initially at rest begins to rotate for 1.05 minutes about its axis with…

A:

Q: A centrifuge is spinning through an angle given 283.3e-19t + 38.5 radians. What is the angular…

A:

Q: If the turbine of the engine spins at 135 rev/min. What is their angular velocity in radians per…

A: spin velocity of 135 rev/min

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3600 rev/min. When switched off,…

A: Given value--- initial angular speed = 3600 rev/min. angle = 50 rev. We have to find--- angular…

Q: During the spin-dry cycle of a washing machine, the motor slows from 93.0rad/s to 31.0rad/s while…

A: Given data:  Initial angular velocity (ωi) = 93.0 rad/s Final angular velocity (ωf) = 31.0 rad/s…

Q: A potter's wheel of radius 14cm starts from rest and rotates with a constant angular acceleration…

A: Given data:  Radius (r) = 14 cm = 0.14 m Initial angular velocity (ωi) = 0 rad/s Time (t) = 25 s…

Q: A rope wrapped around a 5-kg circular drum pulls with a tension of 400 N. If the radius of the drum…

A: Given data: Mass (m) = 5 kg Force (F) = 400 N Radius (r) = 20 cm = 0.20 m Angle between force and…

Q: ntist's drill starts from rest and undergoes uniform angular acceleration t turms at a rate 10…

A: The angular acceleration is the time rate of change of the angular velocity. Here, we calculate the…

Q: a carousel makes 24 revolutions in 3.0min. A) Calculate its angular velocity in rad/s B) What is the…

A:

Q: A track star runs a 275 m race on a 275 m circular track in 30 s. What is his angular velocity (in…

A:

Q: a rider notices that the wheels of his bycicle make 12 rev in 15s. what is the average angular speed…

A: Given: The revolution of the wheel in 15 s is 12 rev. The radius of the wheel is 33 cm.

Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to a constant…

A: Angular velocity = W0 = 17 rad/s angular acceleration = α= 7 rad/s2 number of revolutions = n = 3…

Q: A wheel with a radius 0.54 rolls across the level ground, I initially moving forward with a speed of…

A:

Q: A wheel stops from 120 rad/sec in 3.0 revolutions. What is the angular acceleration?

A: The expression for the angular acceleration is α=ΔωΔt α is the angular acceleration, ∆ωis the…

Q: A centrifuge rotor is accelerated for 10 s from rest to 1000 rad/s. What is the average angular…

A: The final angular speed, ωf=1000 rad/s   The initial angular speed, ωi=0 rad/s   The time taken,…

Q: A wheel with a radius 0.38 rolls across the level ground, initially moving forward with a speed of…

A: Given data:  Radius, r = 0.38 m  Initial speed, v i = 17.3 m/s  Final speed, v f = 8.43 m/s…

Q: A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.5 s. Find the angular…

A: Given Infomation:- Initial angular velocity of the turn table is ωi=0. Final angular velocity of the…

Q: Starting from rest, a uniform cylindrical wheel (I=M R?) m diameter is rotating under a constant…

A: Givend=1 mα=3 rad/s2

Q: A circular saw blade 0.170 m in diameter starts from rest. In 8.00 s, it reaches an angular velocity…

A: Given data: Diameter of saw blade is, d=0.170 m. Initial angular velocity is, ω1=0 rad/s.…

Q: A wind turbine makes one complete revolution in 2.3 s. What is its rotational velocity? rad/s

A:

Q: The linear velocity of a tetherball is 10 m/s as it moves around a circle of radius, r =2 m. What is…

A: Linear velocity is 10m/s Radius of the circle is 2m

Q: A basketball spinning on someone’s finger undergoes an angular acceleration of -0.15 rad/s and is…

A: Write the given values with the suitable variables. Here, α, ωi, and ωf are the angular…

Q: During the spin-dry cycle of a washing machine, the motor slows from 98.0rad/s to 36.0rad/s while…

A:

Q: A grindstone, initially at rest, is given a constant angular acceleration so that it makes 5.20 rev…

A:

Q: bar on a hinge starts from rest and rotates with an angular acceleration a = 13 + 7t, where a is in…

A: The angular acceleration of the bar is, α=13+7t rads2 The final time is 4.53 s. Relation between…

Q: The angular speed of the shaft of a car's engine is 360 rad/s. How many revolutions does it complete…

A:

Q: A rotating flywheel 12.4 cm in diameter is rotating at an initial angular speed of 28.0 rad/s. The…

A: Initial angular speed =28.0 rad/s Final angular speed =34.5 rad/s Time taken for change in velocity…

Q: A wheel with a radius 0.5 rolls across the level ground, initially moving forward with a speed of…

A: Given R=0.5 m u=19.7 m/s  v=9.19 m/s No. of revolutions=24

Q: What is rhe angular acceleration of a ball that starts at rest and increases its angular velocity…

A: Give data: Initial angular velocity is, ωi= 0 rad/sec Final angular acceleration is, ωf= 5 rad/s…

Q: A point on the rim of a 0.60-inch diameter wheel is traveling at 75 ft./sec. What is the angular…

A: diameter = 0.60 inch radius = 0.3 inch linear velocity (v) = 75 fts

Q: A cylinder with a radius of 13 meters and a mass of 8.5 kg rolls without slipping, traveling at 6…

A: Radius R = 13 m  Mass M = 8.5 kg  velocity v = 6 m/s We need to determine total kinetic energy of…

Q: A ball begins to whirl with constant angular acceleration. From rest, it attains an angular velocity…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 25 rad/s Angular…

Q: A wheel of 1.00 m radius turns as 253 rpm. Recall evolution = 2pi radius, and 1minute = 60.0…

A:

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3550 rev/min. When switched off,…

A: Data Given ,  Initial Angular speed ω0 = 3550 rev/min      = ( 3550 × 2π60) rad / sec        =…

Q: A rectangular plate swings from arms of equal length as shown. What is the magnitude of the angular…

A: Angular velocity is rate of change of angular displacement of the particle. It is denoted by w. w =…

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.