121. The angular acceleration of a rotating rigid body is given by a = (2.0-3.0r) rad/s². If the body starts rotating from rest at t=0, (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0° at t = 0 lie at t= 10 s?
Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…
A: a) Angular speed = (88.2/4.95 )1/2 = 4.22 rad/s
Q: The angular velocity of a rotating rigid body increases from 200 to 1,850 rev/min in 130 s. (Enter…
A: Initial velocity wi = 200 rev/min = 200×0.105 rad/s wi = 21 rad/s Final velocity wf = 1850×0.105…
Q: Ferris wheel at a carnival has a radius of 30 feet. Suppose a passenger is traveling at 7 miles…
A: Speed = 7 miles/hour Radius = 30 ft 1 mile = 5280 ft 7 miles/hr = 7×5280 ft/hr = (7×5280/60) ft/min…
Q: A potter's wheel of mass 10 kg and radius 30 cm radius can be modelled as a uniform disk (a) The…
A: wf=wi+αtwi=0t=20 s
Q: A cylinder rotating at 4.3 rad/s is accelerated to 37.1 rad/s in 6.5 s. What is the angular…
A: Angular acceleration is the term for the time rate of change of angular velocity. The most prevalent…
Q: The ladder of the fire truck rotates around the z axis with an angular velocity of W₁ = 0.13 rad/s,…
A:
Q: cylinder rotating about its axis with a constant angular acceleration of 1.4 rad/s2 starts from rest…
A:
Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched…
A: The initial angular speed of the centrifuge is ω0 = 3,800 rev/min. The angular displacement of the…
Q: A fan blade is rotating with a constant angular acceleration of +10.1 rad/s². At what point on the…
A: Given data:The angular acceleration is Formula:The expression for the linear acceleration is shown…
Q: An electric drill rotates at 1800 rev/min. Through what angle does it turn in 2 ms? If it reaches…
A:
Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 21 s. Its blades…
A:
Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 17 s. Its blades…
A:
Q: A propeller blade rotates with angular velocity ω(t) = 2.00 rad/s- 2.10rad/s3 t^2. What is the…
A: Given that ωt=2 rad/s-2.10 rad/s3t2
Q: The angular speed of a rotor in a centrifuge increases from 429 to 1350 rad/s in a time of 6.77 s.…
A:
Q: The rotating blade of a blender turns with constant angular acceleration 1.50 [rad/s2]. (a) How much…
A: 1 ∝z = 1.50 WOz = 0 1 from rest ) Wz = 36 Wz = Woz + ∝z t t =Wz-WOz∝z =…
Q: A spinning wheel steadily slows from an initial angular velocity of 1.95 rev/s to 0.495 rev/s in…
A: Given data: Initial angular velocity (ω0) = 1.95 rev/s Final angular velocity (ω) = 0.495 rev/s Time…
Q: A drill starts from rest. After 4 s of constant angular acceleration, it turns at a rate of 2.5x104…
A: initial angular velocity,wi=0 rad/sFinal rotational speed,Nf=2.5×104 rev/minFinal angular velocity…
Q: 2. A wheel spins rather slowly at first, taking 8 seconds for every spin. It then accelerates at…
A:
Q: VA = 5 ft/s, both acting to the left. Determine the acceleration of the top of the ladder, B, and…
A: Here we will use basic position, velocity and acceleration relations.
Q: centrifuge in a medical laboratory rotates at an angular speed of 3,750 rev/min. When switched off,…
A: Angular speed of 3,750 rev/minRotates through 46.0 revolutions before coming to restTo Find the…
Q: 1(A). A centrifuge in a biology laboratory rotates at an angular speed of 3,550 rev/min. When…
A: Solution: Given Values, Initial Angular speed ω0=3550 rev/min =3550 rev/min×2π rad1 rev1 min60 s…
Q: an object of mass 0.5 kg moving in a circular path of radius 0.25 m experiences a centripetal…
A: Given value--- mass = 0.5 kg. radius = 0.25 m. centripetal acceleration = 9 m/s2. We have to…
Q: A flywheel slows from 543 rev/min to 397 rev/min while rotating through 43 revolutions. (a) What is…
A:
Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,450 rev/min. When switched…
A: Given data: Initial angular velocity (ω0) = 3450 rev/min Angular displacement (Δθ) = 52.0…
Q: A rotating wheel requires 13.0 s to rotate 36.0 revolutions. Its angular velocity at the end of the…
A: The objective of the question is to find the constant angular acceleration of the wheel.
Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…
A: (a) The centripetal acceleration in terms of angular speed is given by, ac=rω2 Here, r is the radius…
Q: The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant…
A: The objective of this question is to calculate the final centripetal acceleration of a point at the…
Q: A bug on the rim of a 10-in.-diameter disk if the disk moves from rest to an angular speed of 78…
A: The bug is moving with the disk. Initially the bug is at rest. We are given the final angular…
Q: A wheel starts to rotate from rest and reaches full speed with an angular acceleration of 6.7…
A:
Q: A diver is diving from a height of 20 m. First, he makes a rotation (body tucked). At the end of…
A: Using the kinetic equation, ∆y=vot+12at2 Here, initial velocity vo=0 for no initial vertical…
Q: A wheel rotating at 11.2 rad/s undergoes an angular acceleration of 12.0 rad/s^2. Through what angle…
A: Given: The initial angular velocity is 11.2 rad/s. The angular acceleration is 12 rad/s2. The time…
Q: A rotating wheel requires 5.00 s to rotate 29.0 revolutions. Its angular velocity at the end of the…
A: Let initial angular velocity = ωfinal angular velocity (ω') = 98 radsecθ = 29 revolutions
Q: A Ferris wheel slows down with a constant angular acceleration of magnitude 5.0 rad/s 2. If the…
A: Given : Angular acceleration (α) = -5 rad/s2 Negative because Ferris wheel is slowing down Number of…
Q: The blades of a ceiling fan have a radius of 0.77 m and are rotating about a fixed axis with an…
A:
Q: nat is its angular acceleration? L09 rad/s? w much time is required for it to complete the first 29…
A: Given:- The flywheel turns n = 58 rev the initial angular speed of the wheel = 3.0 rad/s Find;-…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- A turntable rotates clockwise at 80 rpm. A speck of dust on the turn table has an angular position of θ = π/2 radians at t = 0. What is the angular position of the speck at t = 7.5 seconds? Your answer should be between 0 and 2π.A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades are 27 m in length. (a) What is the angular acceleration of the turbine (in rad/s2)? (Indicate the direction with the sign of your answer.) |-0.233 v rad/s2 (b) What is the centripetal acceleration (in m/s) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) X m/s2 648.27 (c) What is the magnitude (in m/s) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.) 648.30 x m/s? What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.) 0.561. The motor of an engine is rotating about its axis with angular speed velocity of 102 r.p.m at constant acceleration of 10 rad/s? having radius 5.1 cm. Find its angular speed, linear velocity, centripetal acceleration and total acceleration
- A wheel that is 34.0 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the tangential (linear) acceleration of the wheel?A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 48.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.A centrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. When switched off, it rotates through 54.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.
- A rotating wheel requires t=14.3s to rotate through 106 revolutions. Its angular velocity at the end of this 14.3-s interval is 24rad/s. What is the constant angular acceleration of the wheel? Express your answer in units of rad/s2 using one decimal place.A wheel rotating at 17.55 rad/s undergoes an angular acceleration of 12.70 rad/s^2. Through what angle has the wheel turned when t = 6.48 s? Give your answer in radians.A fan blade is rotating with a constant angular acceleration of + 9.9 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity? r = i
- An ultracentrifuge accelerates at a constant rate from rest to 108500rpm in 2 minutes. All questions refer to the magnitude of the quantities only. What is the angular acceleration in rad/s^2? What is the tangential acceleration of a point 9cm from the axis of rotation? What is the centripetal acceleration of this point at full rpm?1. A wind turbine is rotating at 31 rev/min. How fast (in m/s) is a point on the blade is moving that is (a) 0.5 m from the rotational axis? Answer: m/s (b) 1.0 m from the rotational axis? Answer: m/s (c) What is the magnitude of the centripetal acceleration at 0.5 m? Answer: V m/s? (d) What is the magnitude of the tangential acceleration at 0.5 m? Answer: V m/s2A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate the angular acceleration of the pulley, the angle through which it turns in this time, the length of belt it winds in that same time.