Calculating Height of Prop Tip at 12 Minutes: 2 of 2-Trig

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Homework Help Overview

The discussion revolves around calculating the height of a propeller tip on an airplane at a specific time, using a trigonometric function. The problem involves understanding the relationship between the propeller's rotation, its radius, and the height above the ground.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the function provided for height and question the calculations made by the original poster. There is a focus on whether the angle used in the sine function should be in radians or degrees.

Discussion Status

The discussion is active, with participants providing different interpretations of the calculations and questioning the assumptions made regarding the angle measurement. Some guidance has been offered regarding the potential error in the original poster's approach.

Contextual Notes

There is uncertainty about the correct unit for the angle in the sine function, whether it should be in degrees or radians, which affects the calculations. The original poster's initial result is also under scrutiny.

TonyC
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2 of 2--Trig

Kahleela starts the engine on her small airplane. The engine drives a prop with a radius of 8.5 feet and its centerline 11.5 feet above the ground. At idel, the prop rotates at a constant speed of @ 800 revs/minute. The height of one prop tip as a function of time is given by:
h=11.5+8.5sin(800t), where h is the height in feet and t is the time in minutes. When t= 12 minutes, what is h?

I came up with 7.3 feet...I was wrong...

Where did I stray?
 
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Radians and degrees? What is the answer?
 
Last edited:
a. 4.1 ft
b. 18.9 ft
c. 7.3 ft
d. 15.7 ft
 
12*800= 9600. Assuming that is in degrees, which seems most likely, sin(9600)= -0.8660. 8.5sin(9600)= -7.36 (is that where you got the "7.3"? Did you forget the last part?) 11.5+ 8.5sin(9600)= 4.14. The tip of the propellor is 4.14 feet off the ground.
 

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