The angular acceleration of a wheel

Reference no: EM13547125

The angular acceleration of a wheel is ? = 5.0t4 – 3.0t2, with ? in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7.0 rad/s and an angular position of +4.0 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).

Reference no: EM13547125

Questions Cloud

What are its angular acceleration and its angular speed : A pulley, with a rotational inertia of 1.1 x 10-3 kg·m2 about its axle and a radius of 5.8 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F = 0.16t + 0.43t2, with F in newtons and t in seconds.

Frequency of the light it is emitting : How fast (as a percentage of light speed) would a star have to be moving so that the frequency of the light we receive from it is 14.0 % higher than the frequency of the light it is emitting?

Determine the separation between the slit and the wall : Monochromatic light of wavelength 600 nm illuminates a single slit of width 6.5 um and a diffraction pattern is created on a wall. The central maximum has a width of 3.5m. Determine the separation between the slit and the wall.

Pulsar is rapidly rotating neutron star-emits radio beam : A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pul..

The angular acceleration of a wheel : The angular acceleration of a wheel is ? = 5.0t4 – 3.0t2, with ? in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7.0 rad/s and an angular position of +4.0 rad. Write expressions for (a) the angular..

Find the minimum instantaneous power dissipated in resistor : A resistor with R = 1.5 k? is connected to an AC generator that operates at 60 Hz with an amplitude of 49 V. (a) Find the amplitude of the current through the resistor. A

Find the velocity of the second ball just after it is struck : A cue ball (mass = 0.165 kg) is at rest on a frictionless pool table. The ball is hit dead center by a pool stick, which applies an impulse of +1.96 N·s to the ball. The ball then slides along the table and makes an elastic head-on collision with a s..

Find the final velocities of ball if collision is elastic : A 2.10-kg ball, moving to the right at a velocity of +4.60 m/s on a frictionless table, collides head-on with a stationary 6.30-kg ball. Find the final velocities of (a) the 2.10-kg ball and of (b) the 6.30-kg ball if the collision is elastic. (c)..

What percentage of projectiles incident kinetic energy : A projectile (mass = 0.259 kg) is fired at and embeds itself in a target (mass = 1.93 kg). (The target is initially stationary). The target (with the projectile in it) flies off after being struck. What percentage of the projectile's incident kinetic..

User Account

All Pages