The minute hand of a clock is 4.5 inches long. What distance does the tip move in 25 minutes?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 16A: Figure 219 shows a compound gear train. Gears B and C are keyed to the same shaft; therefore, they...
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Activity 7: Solve the following situational problems involving circular
functions.
1. The minute hand of a clock is 4.5 inches long. What distance does the
tip move in 25 minutes?
2. The radius of the wheel of a car is 15 inches. If the wheel is turning at
the rate of 3 revolutions per second, how fast is the car moving?
Express your answer in miles per hour.
3. The diameter of a bicycle is 26 inches. If you are travelling at a speed
of 35 miles per hour on the bicycle, through how many revolutions per
minute are the wheel turning?
4. In the classic novel Don Quixote, the character famously battles a
windmill. Suppose the center of the windmill is 20 feet off the ground,
and the sails are 15 feet long. Don Quixote is at the tip of one of the
sails. The sails are turning at the rate of one counterclockwise rotation
every 60 seconds. After 1 minute and 40 seconds, Don Quixote fell off
the sail and straight down to the ground. How far did he fall?
5. A Ferris Wheel in Las Vegas, Nevada, opened in March 2014. The 550
ft tall wheel has a diameter of 5290 ft. A ride on its one of its 28
passenger cars last 30 minutes, the time it takes the wheel to complete
one full rotation. Riders board the passenger cars at the bottom of the
wheel. Assume that once the wheel is in motion it maintains a constant
speed for the 30-minutes ride and is rotating in a counter clockwise
direction. If you were on this ride, how high would you be above the
ground after 20 minutes?

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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,