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A spot of paint on a bicycle tire moves in a circular path of radius 0.27 m. When the spot has traveled a linear distance of 2.18 m, through what angle has the tire rotated? Give your answer in radians.

A pulley rotating in the counterclockwise direction is attached to a mass suspended from a string. The mass causes the pulley's angular velocity to decrease with a constant angular acceleration α = -2.2 rad/s2. If the pulley's initial angular velocity is...

After fixing a flat tire on a bicycle you give the wheel a spin. (a) If its initial angular speed was 5.41 rad/s and it rotated 13.7 revolutions before coming to rest, what was its average angular acceleration?

The position of a mass oscillating on a spring is given by x = (5.6 cm) cos [2πt / (2.03 s)]. (a) What is the period of this motion? (b) What is the first time the mass is at the position x = 0?

A 0.38-kg mass attached to a spring undergoes simple harmonic motion with a period of 0.63 s. What is the force constant of the spring?

When a 0.30-kg mass is attached to a vertical spring, the spring stretches by 15 cm. How much mass (total) must be attached to the spring to result in a 0.86-s period of oscillation?

A stationary horn emits a 135-Hz tone. What frequency is heard by a passenger on a train which is moving towards this horn with a speed of 31.3 m/s?

A train on one track moves in the same direction as a second train on the adjacent track. The first train, which is ahead of the second train and moves with a speed of 31.3 m/s, blows a horn whose frequency is 124 Hz. If the frequency heard on the second...

A water tank springs a leak. Find the speed of water emerging from the hole if the leak is 2.5 m below the surface of the water, which is open to the atmosphere.

A hole in an aluminum plate has a diameter of 1.465 cm at 22.80° C. (a) What is the diameter of the hole at 199.0° C (to four significant digits)? (b) At what temperature is the diameter of the hole equal to 1.463 cm (to three significant digits)?

Derek the drunk driver drives his car off the road, onto a gravel strip next to the road. Derek does not have anti-lock brakes, so his wheels lock when he enters the gravel area, and the car slides to a halt. Derek's car is traveling at a speed of 20m/s w...

thank you. but i don't think this is the answer they are looking for :(. hypothetically, can we assume elasticity?

thank you so much. i'll get working on this.