The angular acceleration of a wheel is a = 7.0t4 - 5.0t², with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7 rad/s and an angular position of +1 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5. t3+ i Units (b) Number i t6. t4+ t+ i Units

The angular acceleration of a wheel is a = 7.0t4 - 5.0t², with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7 rad/s and an angular position of +1 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5. t3+ i Units (b) Number i t6. t4+ t+ i Units

Similar questions

Hello, can you also please include the formula that you used to solve this problem? Thank you!
The angular position of a rotating object as a function of time is given below: e = 3.113-2.5t2 +4.7t+d Here e is in units of radians and t is in units of seconds and d is constant. Determine the instantaneous angular acceleration of the object at t=2.9s. Express your answer in units of rad/s using one decimal place.
The disk starts at wo = 2 rad/s when 0 = 0, and is given an angular acceleration a = (0.30) rad/s², where is in radians. (Figure 1) Figure 0.4 m P 1 of 1 Part A Determine the magnitude of the normal component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. an = LUI Part B xa 20.5 Submit μA xa at = 1.51 Xb Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback مرات b Determine the magnitude of the tangential component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. μA Xb X.10n m a b ? m X.10n X X Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining
The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.
The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.
A figure skater begins spinning counterclock- wise at an angular speed of 4.9 T rad/s. Dur- ing a 4.8 s interval, she slowly pulls her arms inward and finally spins at 7.3 T rad/s. What is her average angular acceleration during this time interval? Answer in units of rad/s².
The power required to rotate an object and overcome friction is P = –bw, where w is the angular speed of the object. What are the SI units of b? kg · m/s kg · m? /s kg · m2 /s S kg · m? kg /s none of these
A 42.0-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 = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axis