Tangential speed:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\omega}}}$

Acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$

**Part A**

Given that the pebble goes by three times per second, the angular speed is given in radians as:

ω = (3)(2π) = 18.85 rad/s

Your roommate is working on his bicycle and has the bike upside down. He spins the 56.0cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second.

Part A

What is the pebble's speed?

Express your answer with the appropriate units

Part B

What is the pebble's acceleration?

Express your answer with the appropriate units.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

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