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julsineya [31]
3 years ago
5

Trigonometry Story Problem? A gondola on an amusement park ride spins at speed of 13 revolutions per minute. If the gondola is 2

5 feet from the ride's center, what is the linear speed of the gondola in miles per hour. (Hint: 5280 feet=1 minute).
Mathematics
1 answer:
Neko [114]3 years ago
7 0
<span>23.2 mph What you do is figure out how far the gondola is moving. Given that it's moving in a circle with a radius of 25 feet, the circumference is: 2 * 3.14159 * 25 = 157.08 feet. Now it travels that distance 13 times per minute giving: 157.08 * 13 = 2042.04 feet per minute. Finally, assuming it keeps up that speed for 1 hour, you get 2042.04 * 60 = 122522.4 feet per hour. Now convert that to miles per hour by dividing by 5280 122522.4 / 5280 = 23.2</span>
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