The radius of a wheel is
3.5
c
m
. what is the distance (in cm). travelled by the wheel in 20 revolutions ?
Answers
Answer:
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Step-by-step explanation:
Hello, you may want to start by underlining or highlighting important key words in the story problem.
A wheel has a radius of 35 cm. How many revolutions of the wheel are needed to cover a distance of 88 m?
If you read it twice through, you realize that the answer needs to be in meters, not centimeters. Therefore, convert the
35 cm to meters. 100 cm = 1 meter
35 cm= .35 meter
1 revolution= one complete time around the wheel The distance around the wheel or circle= Circumference
Use the circumference formula: C=2πr 2 (3.14)(.35) ≅ approximately equal to 2.198 M= 1 Revolution
At this point you can divide 88 by 2.198 to find out how many revolutions it would take for 88 meters, or you can set
up a proportion as follows: 2.198 meters/ 1 revolution ≅ 88 Meters/ X revolutions .
Cross multiply, and you get 88 ≅2.198X 88/2.198 ≅ 40.036 revolutions
Answer:
in one revolution, wheel will move a distance equal to its circumference.
therefore c = 2*pi*r
=> 3*22/7*3.5
=> 33 cm
in one revolution wheel moves 33 cm so in 20 revolutions it will move by 33×20 = 660 cm