(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rock stuck in the tread of a 53.0 cm diameter bicycle wheel has a tangential speed of 3.50 m/s. When the brakes are applied, the rock's tangential deceleration is 1.20 m/s^2.

X.) What is the magnitudes of the rock's angular velocity (omega) when t = 1.60s?

Y.) What is the magnitudes of the rock's angular acceleration (alpha) when t = 1.60s?

Z.) At what time is the magnitude of the rock's acceleration equal to g? (9.8 m/s^2)

2. Relevant equations

v = r(omega)

a = r(omega)^2

Vf = Vi + a[tangental](dt)

D[omega] = alpha(dt)

omega^2 = omega0^2 + 2(alpha)(dtheta)

3. The attempt at a solution

X.) r = 0.265m, a[tangental] = -1.2, Vi = 3.5, dt = 1.6

Vf = 3.5 + (-1.2)(1.6) = 1.58

omega = 1.58/0.265 = 5.962 {incorrect apparently}

Y.) omega1 = 3.5/.265 = 13.208

(13.208 - 5.962) = alpha(1.6)

alpha = 4.528 {incorrect, but expected because X is incorrect}

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Circular Motion of bicycle

**Physics Forums | Science Articles, Homework Help, Discussion**