A rolling wheel of radius r has translational velocity v as well as angular velo

Question

A rolling wheel of radius r has translational velocity v as well as angular velocity w. Here you will relate translational velocity to angular velocity. Since the circumference of a circle of radius r is 2p r, every time the center of mass moves a distance 2p r, the object rotates a full circle (2p radians). If this happens in a time T then v = Dx/Dt = 2p r / T (1) and w = Dq/Dt = 2p/T (2) Combine these equations to find an expression for w in terms of v. When applying equation 1 (in question 1) to our system, which radius (r or R) should you use? Why?

Explanation / Answer

v = r? is the "no slip condition". So which radius is it that's not slipping? (Aside: you can make greek letters in HTML. Bracket the word in & and ;, with it capitalized for the capital letter. So & Delta ; (remove the spaces) becomes ?.)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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