Question

A cylinder rotating about its axis with a constant angular acceleration of 1.6 rad/s^2 starts from...

A cylinder rotating about its axis with a constant angular acceleration of 1.6 rad/s^2 starts from rest at t=0. At the instant when it has turned through 0.40 radian, find the magnitude of the tangential velocity at point on the rim (radius=0.15 m)?

Homework Answers

Answer #1

Using 3rd rotational kinematic equation:

w^2 = w0^2 + 2**

= angular displacement = 0.40 rad

= angular acceleration = 1.6 rad/sec^2

w0 = Initial angular velocity = 0 rad/sec

w = final angular velocity = ?

w = sqrt (w0^2 + 2**)

w = sqrt (0^2 + 2*1.6*0.40) = 1.1314 rad/sec

Now at this time tangential velocity will be:

V = w*R

R = radius of cylinder = 0.15 m

So,

V = 1.1314*0.15

V = 0.17 m/s = tangential velocity

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 44.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from...
A 44.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.48 s, find the angular speed of the wheel. rad/s (b) At t = 2.48 s, find the magnitude of the linear velocity...
A wheel released from rest is rotating with constant angular acceleration of 2.5 rad/s2. (a) After...
A wheel released from rest is rotating with constant angular acceleration of 2.5 rad/s2. (a) After 2.5 s, what is its angular velocity? rad/s (b) Through what angle has the wheel turned? rad (c) How many revolutions has it made? rev (d) What is the speed of a point 1.0 m from the axis of rotation? m/s What is the magnitude of the total acceleration of the same point? m/s2
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant angular acceleration of 0.400 rad/s2 . Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ?. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through...
A flywheel with a radius of .340 m starts from rest and accelerates with a constant...
A flywheel with a radius of .340 m starts from rest and accelerates with a constant angular acceleration of .730 rad/ s2. A) compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. B) compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0. C) compute the magnitude of the tangential...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant angular acceleration of 0.400 rad/s2 . a)Compute the magnitude of the tangential acceleration of a point on its rim at the start. b)Compute the magnitude of the radial acceleration of a point on its rim at the start. -------------------- c) Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ∘. d)Compute the magnitude of...
a) At a certain instant, a rotating turbine wheel of radius R has angular speed ω...
a) At a certain instant, a rotating turbine wheel of radius R has angular speed ω (measured in rad/s). What must be the magnitude α of its angular acceleration (measured in rad/s2) at this instant if the acceleration vector a⃗ of a point on the rim of the wheel makes an angle of exactly 30∘ with the velocity vector v⃗ of that point? Express your answer in terms of some or all of the variables R and ω. b) At...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.700 rad/s2 . 1.Compute the magnitude of the tangential acceleration of a point on its rim at the start. 2.Compute the magnitude of the radial acceleration of a point on its rim at the start. 3.Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?. 4.Compute the magnitude of the radial...
A wheel starts from rest and rotates about its axis with constant angular acceleration. After 5.7...
A wheel starts from rest and rotates about its axis with constant angular acceleration. After 5.7 s have elapsed, it has rotated through an angle of 20 radians. What is the angular acceleration of the wheel? What is the angular velocity when the time t = 5.7 s? What is the centripetal acceleration of a point on the wheel a distance r = 0.35 m from the axis at t = 5.7 s?
A flywheel with a radius of 0.700 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.700 m starts from rest and accelerates with a constant angular acceleration of 0.500 rad/s2 . A). Compute the magnitude of the resultant acceleration of a point on its rim at the start B). Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ∘. C). Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0
A disk having a radius of (168 mm ) rotates about a fixed axis with an...
A disk having a radius of (168 mm ) rotates about a fixed axis with an angular velocity of ω = (2t + 3) rad/s, where t is in seconds. Determine the tangential and normal components of acceleration of a point located on the rim of the disk at the instant the angular displacement is θ = 74 radian