Karina has an antique one-speed bicycle that has two gears connected by a chain. The front gear has a radius of 7 inches and the rear gear has a radius of 1.5 inches. The chain and teeth of each gear have the same linear speed. The tires have a diameter of 30 inches. Karina is peddling at a rate of 15 rotations per minute, meaning the front gear is turning at that speed. What is the exact angular speed of the front gear? radians per minute Enter the exact answer; use pi for t. What is the exact linear speed of the chain? inches per minute Enter the exact answer; use pi for t. What is the exact rotational speed of the rear gear? rotations per minute Enter the exact answer; use pi for T. The rear wheel has the same angular velocity as the rear gear. How fast is Karina travelling? miles per hour 1 miles per hour. 1056 Round to the nearest integer. One inch per minute

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Karina has an antique one-speed bicycle that has two gears connected by a chain.
The front gear has a radius of 7 inches and the rear gear has a radius of 1.5 inches.
The chain and teeth of each gear have the same linear speed. The tires have a
diameter of 30 inches.
Karina is peddling at a rate of 15 rotations per minute, meaning the front gear is
turning at that speed. What is the exact angular speed of the front gear?
radians per minute
Enter the exact answer; use pi for .
What is the exact linear speed of the chain?
inches per minute
Enter the exact answer; use pi for T.
What is the exact rotational speed of the rear gear?
rotations per minute
Enter the exact answer; use pi for T.
The rear wheel has the same angular velocity as the rear gear. How fast is Karina
travelling?
miles per hour
Round to the nearest integer. One inch per minute =
1
miles per hour.
1056
Transcribed Image Text:Karina has an antique one-speed bicycle that has two gears connected by a chain. The front gear has a radius of 7 inches and the rear gear has a radius of 1.5 inches. The chain and teeth of each gear have the same linear speed. The tires have a diameter of 30 inches. Karina is peddling at a rate of 15 rotations per minute, meaning the front gear is turning at that speed. What is the exact angular speed of the front gear? radians per minute Enter the exact answer; use pi for . What is the exact linear speed of the chain? inches per minute Enter the exact answer; use pi for T. What is the exact rotational speed of the rear gear? rotations per minute Enter the exact answer; use pi for T. The rear wheel has the same angular velocity as the rear gear. How fast is Karina travelling? miles per hour Round to the nearest integer. One inch per minute = 1 miles per hour. 1056
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