A wheel turns with a constant angular acceleration of 0.700 rad/s2rad/s2. I JUST NEED PART B...

A wheel turns with a constant angular acceleration of 0.700 rad/s2rad/s2. I JUST NEED PART B , THANK YOU.

part a :

How much time does it take to reach an angular velocity of 6.00 rad/srad/s, starting from rest?

Express your answer in seconds.

Answer=8.57s

part b:

Through how many revolutions does the wheel turn in this interval?

Express your answer as a number of revolutions.

Solutions

Expert Solution

Since the angular acceleration is uniform, f2=i2+2, where f is final angular velocity, i is initial angular velocity, is angular acceleration, is angular displacement.

So,=(f2-i2)/(2)

Here, i=0 rad/s. f=6 rad/s, =0.7 rad/s2

So, =(62-02)/(2*0.7)=25.71428 radians=25.71428/(2) revolutions=4.09 revolutions.

genius_generous answered 2 weeks ago

Next > < Previous

Related Solutions

A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a...

A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a certain 6.00 s interval, it turns through 36.6 rad. (a) How long had the wheel been turning before the start of the 6.00 s interval? (b) What was the angular velocity of the wheel at the start of the 6.00 s interval?

A wheel rotates with a constant angular acceleration of 3.0 rad/. If the angular speed of...

A wheel rotates with a constant angular acceleration of 3.0 rad/. If the angular speed of the wheel is 2 rad/s at t = 0, through what angular displacement does the wheel rotate in 2 s? 10 rad. 6 rad. 15 rad. 4 rad. 12 rad. Based on question number 3, through how many revolutions has the wheel turned during this time interval? 4 rev. 3 rev. 1.6 rev. 5 rev. 2 rev. Based on question number 3, what is...

A wheel, starting from rest, has a constant angular acceleration of 0.1 rad/s2. In a 2.4-s...

A wheel, starting from rest, has a constant angular acceleration of 0.1 rad/s2. In a 2.4-s interval, it turns through an angle of 120 rad. How long has the wheel been in motion at the start of this 2.4-s interval?

A Ferris Wheel, starting from rest, undergoes a constant angular acceleration of 0.033 rad/s2 to get...

A Ferris Wheel, starting from rest, undergoes a constant angular acceleration of 0.033 rad/s2 to get to its final operating angular velocity of 0.24 rad/s. (a) How long does it take the Ferris Wheel to get to its operating angular velocity? (b) How many revolutions does it make during this time interval?

A 41.0-cm diameter disk rotates with a constant angular acceleration of 2.90 rad/s2. It starts from...

A 41.0-cm diameter disk rotates with a constant angular acceleration of 2.90 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 = 2.49 s, find the angular speed of the wheel. (b) At t = 2.49 s, find the magnitude of the linear velocity AND...

A 45.3-cm diameter disk rotates with a constant angular acceleration of 2.30 rad/s2. It starts from...

A 45.3-cm diameter disk rotates with a constant angular acceleration of 2.30 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 5.26 (correct) rad/s (b) Find the linear velocity and tangential acceleration of P at...

A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 14.0 rad/s2....

A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 14.0 rad/s2. Find the speed of a point on the blade 5.60 m from the axis of rotation when the blade has completed 13 revolutions.

A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from...

A 40.0-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 = 2.45 s, find the angular speed of the wheel. (b) At t = 2.45 s, find the magnitude of the linear velocity and...

A wheel has an initial angular velocity of 1 rad/s and undergoes an angular acceleration of...

A wheel has an initial angular velocity of 1 rad/s and undergoes an angular acceleration of 10 rad/s^2. (a) How many radians does it rotate in 4 sec? (b) What is its angular velocity at this time?

The angular acceleration of a shaft is given by α = -0.20ω rad/s2 , where ω...

The angular acceleration of a shaft is given by α = -0.20ω rad/s2 , where ω represents the angular velocity of the shaft. If at t = 0 the angular velocity ω of the shaft is 18 rad/s, determine (a) the number of revolutions the shaft will execute before coming to rest, (b) the time required for the shaft to come to rest, (c) the time required for the angular velocity of the shaft to be reduced to 1 rad/s

Subjects