A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? (a) 0.50 km (b) 0.80 km (c) 1.0 km (d) 1.5 km (e) 1.8 km
A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? (a) 0.50 km (b) 0.80 km (c) 1.0 km (d) 1.5 km (e) 1.8 km
A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? (a) 0.50 km (b) 0.80 km (c) 1.0 km (d) 1.5 km (e) 1.8 km
Expert Solution & Answer
To determine
The total distance travelled by the cyclist.
Answer to Problem 1OQ
Option (c).
Explanation of Solution
Write the expression to calculate the distance travelled by the cyclist.
S=rθ
Here, S is the total distance travelled, θ is the number of revolutions and r is the wheel radius.
Conclusion:
Substitute 0.500m for r and 320rev for θ in the above equation to calculate S.
A bicycle has a pedal gear ( front gear) with a 9 inch diameter. The rear gear has a 3 inch diameter, and a wheel with a 32 inch diameter. If I can pedal at 52 rpm ( rotations per minute)
How fast am I going in miles per hour?
166. A physics experiment is set up using two pulleys, a string, and a weight as shown below. The larger pulley
has a radius of 20 centimeters, and the smaller pulley has a radius of 5 centimeters. The distance between
the centers of the pulleys is 51 centimeters. The string is pulled tightly across both pulleys so that AB is
a common tangent of the pulleys. Find the length of string from A to B to the nearest tenth of a
centimeter.
B
weight
A Ferris wheel has a radius of 30 m and its centre is 32 m above the
ground. It rotates once every 48 s. Ethan gets on the Feris wheel at the
lowest point and then the wheel starts to rotate. The amount of time it
takes Ethan to reach 38 m above the ground for the first time, to the
nearest tenth of a second, is
S.
Your answer
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