Answer:
1. 10.8 radians
2. 236.3 meters
Explanation:
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
1 revolution = 360°
Hence since Seattle rotates 1.02 revolutions every hour
Step 1
We convert to degrees per minute
= (360 × 1.02 revolutions/hour)/60 minutes
= 6.12 degrees per minute
Step 2
Convert to radians
Number of minutes = 101 minutes
Hence:
(6.12 degrees per minute × 101 ) × π/180
= 10.788229172 radians
Approximately = 10.8radians
2. How far does Karen move in 101 minutes?
We are to calculate the distance in question 2.
We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.
Therefore,
2 × π × 2.19m = 137.60175823
[6.12 degrees per minute × 101 minutes × 137.60175823]/360
= 236.26221888 meters
Approximately = 236.3 meters