At a time t 2.90 s, a point on the rim of a wheel with a radius of 0.240 m has a tangential speed of 50.0 m/s as the wheel slows down with a tangential acceleration of constant magnitude 10.2 m/s2.
Part A Calculate the wheel's constant angular acceleration
Part B Calculate the angular velocity at t 2.90 s
Part C 0. Calculate the angular velocity at t =0
Part D Through what angle did the wheel turn between t = 0 and t = 2.90 s?
Part E Prior to the wheel coming to rest, at what time will the radial acceleration at a point on the rim equal g = 9.81 m/s2?
a)
angular acceleration
a = 10.2 / r = 10.2 / 0.24 = 42.5 m/s^2
=====
b)
w' = 50 / r = 50 / 0.24 = 208.33 rad/s
======
c)
using 1st equation of motion
w = w' / r + at
w = 50 / 0.24 + 42.5* 2.9
w = 331.583 rad/s
=====
d)
x = wt - 0.5 at^2
x = 331.583* 2.9 - 0.5* 42.5* 2.9^2
x = 782.88 rad
=====
e)
a = r w^2
9.8 = 0.24* w^2
w = 6.39 rad/s
331.583 - 42.5* t = 6.39
t = 7.6516 s
======
Comment before rate in case any doubt, will reply for sure... goodluck
At a time t 2.90 s, a point on the rim of a wheel with a radius of 0.240 m has a tangential speed of 50.0 m/s as the wheel slows down with a tangential acceleration of constant magnitude 10.2 m/s2.
At a time t = 3.50 s , a point on the rim of a wheel with a radius of 0.190 m has a tangential speed of 47.0 m/s as the wheel slows down with a tangential acceleration of constant magnitude 10.1 m/s2 1. Calculate the wheel's constant angular acceleration. 2.Calculate the angular velocity at t = 3.50 s . 3.Calculate the angular velocity at t=0 4.Through what angle did the wheel turn between t=0 and t = 3.50 s...
down. The tangential acceleration of the point P on the rim is S m/s Q5 (15 points): A rotating disk ts2s, point P has a linear speed of20ms. starts slowing a) Calculate the angular acceleration of the disk? b) Calculate the angular velocities of the disk att 0 and t 2s Find the angular and linear displacements of the disk at the time to t-2s R 10 m d) At what time will the radial acceleration of the disk be...
A fly wheel with radius 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2. For a point on the rim of the flying wheel, what are the magnitudes of the tangential, radial, and resultant accelerations and velocities after 2.00 seconds?
A Fly wheel with radius 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2. For a point on the rim of the flying wheel, what are the magnitudes of the tangential, radial, and resultant accelerations and velocities after 2.00 seconds?
A wheel 1 m in radius starts rotating from rest with a constant angular acceleration of 4 rad/s2 At t = 2 s find: a) the angular speed of the wheel; b) the tangential speed of the wheel at the rim; c) the centripetal and tangential acceleration of the wheel at the rim; d) the angular displacement.
A 36.2-cm diameter disk rotates with a constant angular acceleration of 2.8 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) Find the angular speed of the wheel at t = 2.30 s. rad/s (b) Find the linear velocity and tangential acceleration of P at t =...
In the figure, point P is on the rim of a wheel of radius 2.0 m. At time t= 0, the wheel is at rest, and P is on the x-axis. The wheel undergoes a uniform counterclockwise angular acceleration of 0.010 rad/s2 about the center O. (a) what is the tangential acceleration of P? (b) What is the linear speed of P when it reaches the y-axis for the second time (hint, solve the angular speed first)? (d) How long after starting does...
A 39.2-cm diameter disk rotates with a constant angular acceleration of 2.8 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) Find the angular speed of the wheel at t 2.30 s. rad/s 2.30 s (b) Find the linear velocity and tangential acceleration of P at t...
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel 7.1 rad/s (b) the tangential speed of the point P (c)...
A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 5.00 rad/s2. At the instant the wheel has completed its second revolution, compute the radial acceleration of a point on the rim in two ways. Using the relationship arad = ω2r. From the relationship arad = v2/r.