The speed of a motor increases from 120 rad/s to 180 rad/s in 20.0 seconds. How many revolutions does it make in this period of time?

Q: In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.90 cm…

A: Here,

Q: If the turbine of the engine spins at an angular velocity of 270.748 radians per sec, what is the…

A: Given : Angular velocity (ω) = 270.748 radians per sec

Q: A certain centrifuge has a rotational inertia of 5.00 kg*m². It is rotating at 2200 RPM when the…

A:

Q: In the figure, two 9.10 kg blocks are connected by a massless string over a pulley of kg-m2. The…

A: GivenMass of each block, m=9.1 kgRadius of pulley, r=2.3 cm=0.023 mRotational inertia, I=7.4×10-4…

Q: A gyroscope slows from an initial rate of 33 rad/s at a rate of 0.54 rad/s^2. a. how long (in s)…

A:

Q: A wheel rotates with a constant acceleration of 2 n rad s. If the wheel starts from rest, calculate…

A: GIVEN:  angular acceleration(α)=2π rad/s2time(t)=10secinitial angular velocity (ωi)=0using…

Q: In the figure, two 5.10 kg blocks are connected by a massless string over a pulley of radius 1.80 cm…

A:

Q: In the figure, two 6.80 kg blocks are connected by a massless string over a pulley of radius 2.10 cm…

A:

Q: A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley,…

A: The mass of the disk is 10.0 kg. The radius of the disk is 21.0 cm. The distance traveled by the…

Q: O 6,474° radians clockwise O 7,277 radians counter-clockwise O 7,277 radians clockwise

A:

Q: A new sport utility vehicle has tires with a diameter of 29.0 inches. The tires have a tread-life…

A: The diameter of the tire, D = 29.0 inches Therefore, the radius of the tire, r = D2 = 29 inches2 =…

Q: If the turbine of the engine spins at an angular velocity of 217.011 radians per sec, what is the…

A: Given data :Angular velocity is ω =217.011 rad/sec

Q: A medical saw is rotating at a constant rate of 15 revolutions per second. Calculate its angular…

A: Given value--- angular speed = 15 revolution per sec. We have to find--- angular speed in rad per…

Q: At its pea a fornado is Next content resource 0 m in diameter and carries 420 km/h winds. What is…

A:

Q: 2). A solid disk with l= (1/2)*m*R^2 has a mass of m = 4.1kg and radius R=0.20 m. The disk starts…

A:

Q: A wind turbine has a moment of inertia of 2.8*10^11 kg*m^2 . How much energy is required to speed it…

A:

Q: The speed of a motor increases from 120 rad/s to 180 rad/s in 20.0 seconds. The number of…

A: Given: The initial angular speed is 120 rad/s. The final angular speed is 180 rad/s. The time…

Q: A disk with a diameter of 30 cm speeds up from 20 rad/s to 40 rad/s in 20s. (a) How many revolutions…

A:

Q: each

A:

Q: A wheel starts from rest and has an angular acceleration of 4.0 rad/s². When it has made 11 rev, its…

A:

Q: In the figure, two 5.50 kg blocks are connected by a massless string over a pulley of radius 1.20 cm…

A:

Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…

A:

Q: A 0.46 m radius grinding wheel takes 1.4 s to speed up from 3.8 rad/s to 8.6 rad/s. What is the…

A:

Q: A sphere of radius 1.5 m begins spinning clockwise such that a point on it moves at 1.58 m/s. A…

A: Given:-          A sphere radius r = 1.5 m

Q: A wheel rotates about a fixed axis with constant angular speed and makes 2 revolutions every second.…

A:

Q: ong does it tak

A: Given: Initial rate is 47.3 rad/s or ωo=47.3 rad/s Rate of 0.696 rad/s2 or α=-0.696 rad/s2

Q: 500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s. What is…

A: Given, Energy KE = 500 J Initial angular velocity of disk ω0=65 rad/s Final angular velocity of disk…

Q: Two pulleys, one with radius 8 inches and one with radius 4 inches are connected by a belt, so that…

A: The radius of the first pulley r1=8 inches The radius of the second pulley r2=4 inches The angular…

Q: If the turbine of the engine spins at an angular velocity of 271.121 radians per sec, what is the…

A: Ans:- Image-1

Q: If the turbine of the engine spins at an angular velocity of 235.47 radians per sec, what is the…

A:

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Given that: L=0.875 mm=2.71 kgω=519 rpm=519 rpm×2π rev/min60 rpm=54.35 rad/s Here, L, m, and ω are…

Q: It takes 5 s for a shaft of a motor to go from zero to 1600 rpm. Assuming constant angular…

A: The first equation of motion for the rotational motion is  where, w is the final angular speed, wo…

Q: MULTIPLE CHOICE Question 3 Convert 260° to radians. A 4.5 rad B 260 rad C 1.4 rad D 820 rad

A: The value of the angle θ=260°

Q: figure, two 8.20 kg blocks are connected by a massless string over a pulley of radius 2.20 cm and…

A:

Q: In the figure, two 8.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm…

A:

Q: wheel of radius 1.0 m is rotating with a constant angular speed, ω, of 2.0 rad/s. What is the linear…

A: Correct option is C) 2.0 m/s

Q: How much time elapses while it turns through 300 radians? 11.0 s O 12.7 s O 15.8 s none of the above

A:

Q: 3. A mass hangs from a fixed pulley. The mass is released from rest. Find the speed of the mass when…

A: We know that: m1=8.0 kg r=0.25 m m2=2.6 kg h=0.85 m Applying conservation of energy:…

Q: without sliding on the track shown in the figure, whose radius is R_0 = 26.0 cm. The sphere begins…

A: Solution:

Q: A wheel with rotational inertia 46 kg.m2 is mounted on a fixed, frictionless axle. The angular speed…

A: The expression for the average power is,

Q: Computation An electric grinder is switched on at t = 0, accelerates uniformly for 17 s to its…

A:

Q: If a wheel is turning at 10 rad/s, the time it tekes to complete 2 complete revolutions is about…

A:

Q: A motor increases its speed from 100 rev/min to 500 rev/min in 20 seconds. If this is done with a…

A:

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.79 x 10^4…

A: initial angularvelocity = W0 = 1.79 x 104 rad/sfinal angularvelocity = W = 3.13 X 104 rad/sangular…

Q: N. What is the angular acceleration of the wheel?

A: Apply Newtown law of motion for rotation.

Q: A wheel with a radius of .5 feet is rotating at 125 rad/sec. How fast is the car moving.

A: The velocity of the car is equal to the tangential velocity of the wheel, now, the tangential…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.