has a pet hamster, Fred, who he loves to run on his wheel. The hamster wheel has a diameter of 12 cm and the base of the wheel is 2 cm off the ground. Fred can turn the wheel 3 times each second. a) Starting from the lowest point, sketch three cycles of the function below. b) Write an equation (in terms of sine or cosine) to model Fred running on the hamster wheel. Use radian measure. c) Use the equation to determine the height of the wheel at 4.2 seconds. Use a radian measure and round your answer to the nearest tenth.
has a pet hamster, Fred, who he loves to run on his wheel. The hamster wheel has a diameter of 12 cm and the base of the wheel is 2 cm off the ground. Fred can turn the wheel 3 times each second. a) Starting from the lowest point, sketch three cycles of the function below. b) Write an equation (in terms of sine or cosine) to model Fred running on the hamster wheel. Use radian measure. c) Use the equation to determine the height of the wheel at 4.2 seconds. Use a radian measure and round your answer to the nearest tenth.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Al has a pet hamster, Fred, who he loves to run on his wheel. The hamster wheel has a diameter of 12 cm and the base of the wheel is 2 cm off the ground. Fred can turn the wheel 3 times each second.
- a) Starting from the lowest point, sketch three cycles of the function below.
- b) Write an equation (in terms of sine or cosine) to model Fred running on the hamster wheel. Use radian measure.
- c) Use the equation to determine the height of the wheel at 4.2 seconds. Use a radian measure and round your answer to the nearest tenth.
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