Question

In: Physics

A bicycle tire is spinning counterclockwise at 3.10 rad/s. During a time period Δt = 2.40...

A bicycle tire is spinning counterclockwise at 3.10 rad/s. During a time period Δt = 2.40 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.10 rad/s. Calculate the change in the tire's angular velocity Δω and the tire's average angular acceleration α_av. (Indicate the direction with the signs of your answers.)

(a) the change in the tire's angular velocity Δω (in rad/s)

(b) the tire's average angular acceleration α_av (in rad/s²)

Expert Solution

Let us consider the counter clockwise direction as positive and the clockwise direction as negative.

Initial angular velocity of the tire = ₁ = +3.1 rad/s

Final angular velocity of the tire = ₂ = -3.1 rad/s

Time period = t = 2.4 sec

Change in the tire's angular velocity =

= -6.2 rad/s

The negative sign indicates it is directed along the clockwise direction.

Average angular acceleration of the tire = _av

_av = -2.58 rad/s²

The negative sign indicates it is directed along the clockwise direction.

a) Change in the tire's angular velocity = -6.2 rad/s

b) Average angular acceleration of the tire = -2.58 rad/s²

genius_generous answered 1 year ago

Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise

Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD, (b) the velocity of collar D, (c) the velocity of point A.

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...

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...

A disk of mass M is spinning freely at 9.11 rad/s when a second identical disk,...

A disk of mass M is spinning freely at 9.11 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. A. What is the angular speed of the new system (in rad/s) B. If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s)

A person is riding a bicycle, and its wheels have an angular velocity of 22.0 rad/s....

A person is riding a bicycle, and its wheels have an angular velocity of 22.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.9 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

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.

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?

are an accounting measure of performance during a specific period of time, while is...

________ are an accounting measure of performance during a specific period of time, while ________ is the actual inflow or outflow of money. Profits; cash flow Cash flows; profit Dividends; cash flow Profits; a dividend

Japans bubble economy in the time period 1985-1990. What did the government do during this time...

Japans bubble economy in the time period 1985-1990. What did the government do during this time to either help or hinder the improvement of the economy? Consider what policies were put in place by the government. This is where you will discuss fiscal policy, monetary policy, and supply side policy (most countries don't actively use supply-side policy, so if the country you are focusing on did not use supply side policy, you don't need to discuss it here). What was...

A 1.25 kg mass oscillates on a spring with a period of 5.00 s. During oscillation...

A 1.25 kg mass oscillates on a spring with a period of 5.00 s. During oscillation the minimum length of the spring is 4.00 cm and the maximum length of the spring is 9.50 cm. What is the total energy of this system?