The radius of a carriage wheel is 50cm , and in 1/9 th of a second it turns through 80 degree about its centre , which is fixed ; how many km does a point on the rim of the wheel travel in one hour?
Ans plzzz
Answers
Given data:
Radius r = 50cm
Time taken by the wheel to turn 80 degree = 1/9 seconds
= > In one second, wheel turns 720 degree
We know that one revolution is 360 degree
Therefore in one second, it takes 2 revolutions
In one hour i.e. 3600 seconds, it takes 7200 revolutions
Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.
Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm
Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm
So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km
Answer:
Step-by-step explanation:
Radius r = 50cm
Time taken by the wheel to turn 80 degree = 1/9 seconds
= > In one second, wheel turns 720 degree
We know that one revolution is 360 degree
Therefore in one second, it takes 2 revolutions
In one hour i.e. 3600 seconds, it takes 7200 revolutions
Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.
Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm
Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm
So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km