A wheel males 19 revolutions to cover a distance of 4598 m.what is the diameter of the wheel>(In m)
Solution
The total distance travelled is = 4598m
No. of revolutions = 19
distance travelled in 1 revolution=4598÷19=242
Now
Distance travelled in 1 revolution = 2 × 22/7 × R
=> 242=2×22/7×r
=> r=242×7/44
=> r=1694/44
=> r=38.5
Thus , radius of wheel = 38.5 m
and , diameter of wheel = 2 × R
= 2 ×38.5
= 77m
The total distance travelled is = 4598m
No. of revolutions = 19
distance travelled in 1 revolution=4598÷19=242
Now
Distance travelled in 1 revolution = 2 × 22/7 × R
=> 242=2×22/7×r
=> r=242×7/44
=> r=1694/44
=> r=38.5
Thus , radius of wheel = 38.5 m
and , diameter of wheel = 2 × R
= 2 ×38.5
= 77m