If a wheel has radius 7 cm more than that of another wheel ,if these two wheels are travel 88m ,then the small wheel revolves 100 times more than that of big wheel ,then find radius of both wheel?
Answers
Answered by
1
Answer:Let radius of smaller wheel is r and it makes n revolutions.
So, radius of bigger wheel is r+7 and it makes n-100 revolutions.
So, for smaller wheel
2*pi*r*n = 8800 (in cm as r is in cm)
44/7. *rn =8800
rn= 1400
For bigger wheel
2*pi*(r+7)*(n-100) = 8800
(r+7)(n-100) = 1400
rn+ 7n-100r-700=1400
1400+ 7n -100*14000/n -700 =1400
7n^2 -700n -140000 =0
n^2 -100n -20000 =0
n = 200
r =1400/200 = 7
r =
Step-by-step explanation:
Similar questions