Question

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?​

Answer 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: