IP As Tony the fisherman reels in a \"big one\", he turns the spool on his fishi

Question

IP As Tony the fisherman reels in a "big one", he turns the spool on his fishing reel at the rate of 3.3 complete revolutions every second.

Part A

If the radius of the reel is 3.5cm , what is the linear speed of the fishing line as it is reeled in?

Express your answer using two significant figures.

SubmitMy AnswersGive Up

Part B

How would your answer to part A change if the radius of the reel were doubled?

Express your answer using two significant figures.

SubmitMy AnswersGive Up

Provide FeedbackContinue

Explanation / Answer

The spool is being rotated at 3.3 revolutions per second. For each complete revolution, the total length of fishing reel being reeled in is equal to the circumference of the spool, which is "2*pi*R", R being the radius of the spool.

So, for the linear speed, you would need to multiply the circumference of the spool (which is also the length of fishing reel reeled in) by the number of complete revolutions per second:

(2*pi*R)*(3.3cm/s). The answer you get from this will be in cm/s

First answer = 2*3.14*3.5*3.3 = 0.72534 m/s

For second part,

increasing the radius will double the speed hence lnear speed = 1.45 m/s

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.