During 0.24 s, a wheel rotates through an angle of 2.42 rad as a point on...

During 0.24 s, a wheel rotates through an angle of 2.42 rad as a point on the periphery of the wheel moves with a constant speed of 2.48 m/s. What is the radius of the wheel?

Expert Solution

Distance travelled by point on periphery=angular displacement*radius

=2.42r

Also distance covered=speed*time

=2.48*0.24=0.5952 m

Equating both:

2.42r=0.5952

r=0.246 m

genius_generous answered 1 year ago

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...

3. The angle that a wheel rotates as a function of time "t" is given by...

3. The angle that a wheel rotates as a function of time "t" is given by θ (t) = 8.5–15.0t ^ 2 + 1.6t ^ 4 where θ is in radians and "t" in seconds. (a) Determine an expression for the instantaneous angular velocity ω. (b) Determine an expression for the instantaneous angular acceleration α. (c) Evaluate ω and α at t = 3.0s. (d) What is the average angular velocity at t = 2.0s and t = 3.0s? (e)...

22. A wheel, orginally rotating at 125 rad/s undergoes a constant angular deceleration of 5.00 rad/s^2....

22. A wheel, orginally rotating at 125 rad/s undergoes a constant angular deceleration of 5.00 rad/s^2. What is its angular speed after it has turned through an angle of 522 radians? 19. When you are out for a shopping, you noticed that the digitial sign outside the shopping center reports that the temperature is 43•C. What is the temperature in degrees Fahrenheit ? 16. A 77 -N •m torque acts on a wheel with a moment if inertia 175 kg...

A compact disc rotates from rest up to an angular speed of 34.3 rad/s in a...

A compact disc rotates from rest up to an angular speed of 34.3 rad/s in a time of 0.867 s. (a) What is the angular acceleration of the disc, assuming the angular acceleration is uniform? rad/s2 (b) Through what angle does the disc turn while coming up to speed? rad (c) If the radius of the disc is 4.45 cm, find the tangential speed of a microbe riding on the rim of the disc. m/s (d) What is the magnitude...

A Wheel initially rotating at an angular velocity of 15.0 rad/s is decelerating at a rate...

A Wheel initially rotating at an angular velocity of 15.0 rad/s is decelerating at a rate of 2.0 rad/s². How many revolutions will the wheel make before coming to rest?

Rod OA rotates counterclockwise with a constant angular velocity of = 5 rad/s. The double collar...

Rod OA rotates counterclockwise with a constant angular velocity of = 5 rad/s. The double collar B is pin connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation r = 1.5(2 - cos θ) ft. If both collars weigh 0.75 lb, determine the normal force which the curved rod exerts on one collar at the instant θ = 120o. Neglect...

The balance wheel of a watch oscillates with angular amplitude 1.2π rad and period 0.70 s....

The balance wheel of a watch oscillates with angular amplitude 1.2π rad and period 0.70 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 1.2π/2 rad, and (c) the magnitude of the angular acceleration at displacement 1.2π/4 rad.

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?

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.977 rad/s. You,...

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.977 rad/s. You, with a mass of 73.3 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 21.1-kg poodle also walks clockwise around the platform, but along a circle at half the platform\'s radius and at half your linear speed with respect to the platform. Your 18.5-kg mutt, on the other hand, sits still on...

Question