MHB How many radians does the airplane propeller rotate in 190/3 pi seconds?

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The discussion centers on calculating the rotation of an airplane propeller in radians over a time period of 190/3 pi seconds. The initial inquiry questions the correctness of the radian usage, noting that 35 degrees appears small for the number of rotations. Responses confirm that the calculations are correct, suggesting that exact values should be provided for clarity. The recommended values include 190/3 pi radians and 7/2280 seconds. The conversation emphasizes the importance of precision in mathematical expressions.
karush
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View attachment 1480

OK, want to see if I am using the use of rad properly here
the answer seems very small. but 35 degrees isn't much for all the rotations.

Answer not in book so hope these are correct..

thanks ahead.
 
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karush said:
View attachment 1480

OK, want to see if I am using the use of rad properly here
the answer seems very small. but 35 degrees isn't much for all the rotations.

Answer not in book so hope these are correct..

thanks ahead.
Looks good to me! (Sun)

-Dan
 
Your answers are correct, but I would give exact values instead:

a) $$\frac{190}{3}\pi\text{ rad}$$

b) $$\frac{7}{2280}\text{ s}$$
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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