Question

A golf ball of diameter 1.68 inches rolls a distance of 4 m in a straight line.
How many times does the ball rotate completely?(1 inch = 2.54cm)​

Answer 1

Answer:

29.9

Step-by-step explanation:

Given A golf ball of diameter 1.68 inches rolls a distance of 4 m in a straight line.

How many times does the ball rotate completely?(1 inch = 2.54 cm)

We know that  

1 m = 100 cm

4 m = 400 cm

Also 1 inch = 2.54 cm

1.68 inches = 2.54 x 1.68 = 4.26 cm

We know that

Circumference of ball =  π x d

                                   = 3.14 x 4.26

                                    = 13.37 cm

Now number of rotations will be = 400 / 13.37

                                                      = 29.9 complete rotations.

Answer 2

Answer:

Number of rotations of the ball nearly = 30 rotations

Step-by-step explanation:

In the question,

Diameter of golf ball, d = 1.68 inches

Distance rolled, s = 4 m

Now,

1 inch = 2.54 cm

So,

Diameter of golf ball, d = 1.68 x 2.54 = 4.2672 cm

Radius, r =  2.1336 cm

Now,

Circumference of circle = 2πr

So,

Circumference of Golf Ball, C = 2×π×2.1336

Circumference, C = 13.405

So,

Number of rotations is given by,

$Number \ of\ rotations=\frac{Distance\ travelled\ by\ ball}{Circumference\ of\ ball}\\N=\frac{s}{C}\\So,\\N=\frac{4\times 100}{13.405}\\N=29.83$

Therefore, the number of rotations by the ball is nearly,

N = 30 rotations