Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.50 m/s$^2$ , what is the angular acceleration of the yo-yo? (b) What is the angular velocity after 0.750 s if it starts from rest? (c) The outside radius of the yo-yo is 3.50 cm. What is the tangential acceleration of a point on its edge?

A platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0 $\mathrm{rad} / \mathrm{s}^{2}$. At a point on the platform that is 1.25 m from the axis of rotation, what is the magnitude of the total acceleration a?

Suppose we use a new yo-yo that has the same mass as the original yo-yo and an axle of the same radius. The new yo-yo has a different mass distribution-most of its mass is concentrated near the rim. Is the moment of inertia of the new yo-yo greater than, less than, or the same as that of the original yo-yo?

A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s$^2$ . (a) How long does it take to come to rest? (b) How many revolutions does it make before stopping?

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. a. What is its angular acceleration in rad/s²? b.What is the tangential acceleration (in m/s²) of a point 10.00 cm from the axis of rotation? c. What is the radial acceleration in m/s²? and in multiples of g of this point at full rpm?

You are told that a basketball player spins the ball with an angular acceleration of 100 rad/s$^2$. (a) What is the ball's final angular velocity if the ball starts from rest and the acceleration lasts 2.00 s? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?

Suppose a piece of dust has fallen on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)

With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a constant angular acceleration. (a) What is its angular acceleration in rad/s²? (b) How many revolutions does it go through in the process?

During a very quick stop, a car decelerates at 7.00 m/s$^2$ . (a) What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s ? (c) How long does the car take to stop completely? (d) What distance does the car travel in this time? (e) What was the car's initial velocity? (f) Do the values obtained seem reasonable, considering that this stop happens very quickly?

If a car decelerates at $250$ m/s$^2$ (about the maximum a human body can survive) during an accident, and the car was going at $96$ km/h at impact, over what distance must an airbag stop a person in order to survive the crash?

during a very quick stop a car decelerates at 7.00 m/s2. If the car was traveling at a speed of 100 m/s, how much distance did it travel after it started decelerating until it completely stopped?

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min.

• What is the tangential acceleration of a point 9.50 cm from the axis of rotation?

The answer should be given in m/s^2.

What is the first person, plural, preterit form of the verb querer?

At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?