Angular velocity (in rad/s) of a disc under varying force is given as ω = 2...

Question

Question

ω = 2 t² - 3 t + 10

Find the angular acceleration at t=4.0 seconds. Find the angular displacement between t=0 and t=4 seconds.

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

Disk D has angular velocity ω': 4 rad/s and angular acceleration α': 1.2 rad/s' and radius...

Disk D has angular velocity ω': 4 rad/s and angular acceleration α': 1.2 rad/s' and radius r = 0.3 m. The fixed curved surface C has radius R = 0.8 m. If no slipping occurs between disk D and the fixed surface C, determine the angular velocity and angular acceleration, ω and α, of arm AB. 2. ω,α ω.a
the angular position of a point on a rotating wheel is given by theta=2+4t^2+3t^3 rad/s? or...

the angular position of a point on a rotating wheel is given by theta=2+4t^2+3t^3 rad/s? or rotates at 84 rad/s in idle mode. When shut off, its angular acceleration is -29 (a) What is the angular velocity after 1.0 s? (b) How long will it take for the motor to completely stop? (C) How many revolutions does the motor make before stopping after it 15 turned off? 5.) The angular position of a point on a rotating wheel is given...
2. The disk starts from rest and is given an angular acceleration a = (21) rad/s,...

2. The disk starts from rest and is given an angular acceleration a = (21) rad/s, where 1 is in seconds. Determine the angular velocity of the disk and its angular displacement when 1 = 4 s.

a coin is placed on a rotating disc whose angular velocity is 2 pi rad/s. If...

a coin is placed on a rotating disc whose angular velocity is 2 pi rad/s. If the coefficient of static friction between the coin and the disc is 0.6, what is the maximum distance from the center of the disc that the coin can be placed on without it slipping off?
A motor gives a disk A an angular acceleration of aA (2t+ 3) rad/s , where...

A motor gives a disk A an angular acceleration of aA (2t+ 3) rad/s , where t is in seconds. If the inidial angular velocity of the disk is Dg 5 rads, determine the magnitude of the velocity of biock B when t 2 s aisa v-1.5 m/s ve 15 m/s ve-7 m/s va-2.25 mls The velocity ofa particle is defined by v (-2i+(3-20A, m/s where t is in seconds. If r 0 when t 0, determine the displacement of...
3. The fly wheel rotates with an angular velocity of ω (4θι 2) rad/s, where θ...

3. The fly wheel rotates with an angular velocity of ω (4θι 2) rad/s, where θ is in radians. Determine the time it takes to achieve an angular velocity of ω-150-at. when t-o θ-1 rad.

The angular position of a point on a rotating wheel is given by θ = 1.6...

The angular position of a point on a rotating wheel is given by θ = 1.6 + 4.2t2 + 1.7t3, where θ is in radians and t is in seconds (a) At t = 0, what is the point's angular position? (b) At t = 0, what is the point's angular velocity? (c) What is its angular velocity at t = 4.0 s? (d) Calculate its angular acceleration at t = 2.0 s. (e) Is its angular acceleration constant? is...
The angular position of a point on a rotating wheel is given by θ = 3...

The angular position of a point on a rotating wheel is given by θ = 3 + 2t2 + 7t3, where θ is in radians and t is in seconds. (a) At t = 0, what is the point's angular position? rad (b) At t = 0, what is the point's angular velocity? rad/s (c) What is the point's angular velocity at t = 4.0 s? rad/s (d) Calculate the point's angular acceleration at t = 2.0 s. rad/s2 (e)...
The reel of rope has the angular velocity ω = 3 rad/s and angular acceleration α = 8 rad/s2 (Figure 1)

The reel of rope has the angular velocity ω = 3 rad/s and angular acceleration α = 8 rad/s2 (Figure 1) Part ADetermine the magnitude of the velocity of point A at the instant shownPart B Determine the direction of the velocity of point A at the instant shown. Part C Determine the magnitude of the acceleration of point A at the instant shown. Part D Determine the direction of the acceleration of point A at the instant shown.

The angle through which a rotating wheel has turned in time t is given by θ...

The angle through which a rotating wheel has turned in time t is given by θ = a t− b t2+ c t4, where θ is in radians and t in seconds. A)Determine an expression for the instantaneous angular velocity ω if t is in seconds. ω = ______ rad/s B)Determine an expression for the instantaneous angular acceleration α if tis in seconds. α = _______ rad/s^2 c)If a = 9.0 rad/s , b = 14.5 rad/s2 , c =...