The restaurant at the top of a very tall buliding in Seattle

The restaurant at the top of a very tall buliding in Seattle rotates 0.97 revolutions every hour. Morgan sits 22.8 meters from the center of the restaurant.

1. Exactly through how many radians does Morgan turn in 94 mins? (exact angle)

2. Now report the answer acccurate to 3 decimal places.

3. How far does Morgan move in 94 mins?

4. Now report the answer accurate to 1 decimal place.

Solution

a) 94 mins = 1 hour 34 mins or 1 +34/60= 1 and 17/30 revolution. and 1 revolution is equal to 2*pi radians

= 47/30*2pi =94/30pi = 47/15pi   answer

2) 9.839   in decimals

3)Distance = angle * radius = 47/15pi*22.8=1071.6/15 pi meters   answer

4) 224.3 meters