A yo-yo which is 2.25 inches in diameter spins at a rate of 4500 revolutions per

Question

A yo-yo which is 2.25 inches in diameter spins at a rate of 4500 revolutions per minute. How fast is the edge of the yo-yo spinning in miles per hour? How many revolutions per minute would the yo-yo in exercise 50 have to complete if the edge fast is the edge of the yo-yo spinning in miles per hour? In the yo-yo trick 'Around the World, ' the performer throws the yo-yo so it sweeps out a vertical circle whose radius is the yo-yo string. If the yo-yo string is 28 inches long and the yo-yo takes 3 seconds to complete one revolution of the circle, compute the speed of the yo-yo in miles per hour. A computer hard drive contains a circular disk with diameter 2.5 inches and spins at a rate of 7200 RPM (revolutions per minute). Find the linear speed of a point on the edge of the disk in miles per hour. A rock got stuck in the tread of my tire and when I was driving 70 miles per hour, the rock came loose and hit the inside of the wheel well of the car. How fast, in miles per hour, was the root traveling when it came out of the tread? (The tire has a diameter of 23 inches.) The Giant Wheel at Cedar Point is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height is 136 feet. (Remember this from Exercise 17 in Section 7.2?) It completes two revolutions in 2 minutes and 7 seconds.^20 Assuming the riders are at the edge of the circle, how fast are they traveling in miles per hour? Consider the circle of radius r pictured below with central angle theta, measured in radians, and subtended arc of length s. Prove that the area of shaded sector is A = 1/2 r^2 theta.

Explanation / Answer

yo-yo string is 28 inches long

radius = 28 inches

one revolution takes 3 seconds

distance = rate * time

distance = 2pi*r = 2pi* 28 = 56pi

rate = distance / time = 56pi / 3 = 58.6133 inches / sec

changing it to miles per hour

speed = 58.6133 * 0.0568182

= 3.33 miles / hour

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.