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?
2. How far does Karen move in 101 minutes?

1. 10.8 radians

2. 236.3 meters

Step-by-step 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

b is the answer that makes most sense

step-by-step explanation:

the answer is mp

step-by-step explanation: