## What is the Angular Position?

**A Ferris wheel rotates at an angular velocity of 3.9×10 ^{-2} rad/s . At t=0, your friend Seth is at the very top of the ride.**

**What is Seth’s angular position at t= 3.4 min measured counterclockwise from the top?**

*Give your answer as an angle in degrees between 0° and 360°.*

**Known Variables:**

Angular Velocity (ω): 3.9×10^{-2} rad/s

Time _{initial}: t_{initial}=0

Time _{final}: t_{final}=3.4

**First step is to convert minutes into seconds.**

t= 3.4

3.4 × 60 = 204 seconds

**Radians Traveled:**

204 × 3.9×10^{-2} rad/s =7.95 radians

**Convert to degrees.**

7.95 × 180 / π= 455.84**°**

This is the measurement of how far Seth has traveled starting from the origin at the top. To find out how far he has gone through the range of 360**°, subract from 360 °**

**455.84 °-360°=95.84°**

**θ=96°**

## Comment ( 1 )

You multiplied by 18 instead of 180.