Question

a carriage wheel makes 1500 revolution in going over a distance of 4.5 km find its radius taking Pi 3.14

Answer 1

Distance covered or going on = 4.5×10³ m
Number of revolution=1500
Distance travelled in 1 revolution = 2×3.14×R
Distance travelled in 1500 revolution
= 2×3.14×1500×R

R×2×3.14×1500=4.5×10³
R=4.5×10³/9420
R=0.47 m

D=0.47×2
D=0.94m

Answer 2

Dear Student,

● Answer -

r = 47.74 cm

● Explanation -

Let r be radius and c be circumference of circle. Carriage wheel travels 4.5 km = 4500 m.

Circumference of circle is calculated by -

c = 4500 / 1500

c = 3 m

But we know,

c = 2πr

r = c / 2π

r = 3 / (2 × 3.142)

r = 0.4774 m

r = 47.74 cm

Hence, radius of the carriage wheel is 47.74 cm.