Thank you for visiting A spool of thread has an average radius of 1 00 cm If the spool contains 62 8 m of thread how many turns of. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To find the number of turns of thread on the spool, divide the length of thread by the circumference of the spool. In this case, there are 1000 turns of thread on the spool.
Explanation:
To find the number of turns of thread on the spool, we need to calculate the circumference of the spool and divide it by the length of thread on the spool. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius is 1.00 cm, so the circumference is 2π(1.00) = 6.28 cm.
Since there are 100 cm in 1 m, the length of thread on the spool can be written as 62.8 m x 100 cm/m = 6280 cm. To find the number of turns, we divide the length of thread by the circumference: 6280 cm / 6.28 cm = 1000 turns.
Therefore, there are 1000 turns of thread on the spool.
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Rewritten by : Jeany
To solve this problem we will start from the given concept in which the number of turns is equivalent to the length of the thread per circumference of spool. That is:
[tex]N = \frac{l}{\phi}[/tex]
Where,
l = length of the thread
[tex]\phi[/tex]= circumference of spool
For \phi we have that,
[tex]\phi = 2\pi r \rightarrow 2\pi (0.01)[/tex]
For l we have that
l = 62.8m
Finally the number of Turns would be,
[tex]N = \frac{l}{\phi}[/tex]
[tex]N = \frac{62.8}{2\pi (0.01)}[/tex]
[tex]N = 1000turns[/tex]
Therefore the number of turns of thread on the spool are 1000turns.
