Question

Shawn is coasting down a 500 \text{ cm}500 cm500, start text, space, c, m, end text long ramp on his inline skates. The wheels on his inline skates are 32\text{ cm}32 cm32, start text, space, c, m, end text in circumference.
How many rotations does each wheel make while Shawn is coasting down the ramp?
Round your answer to the nearest rotation.

Answer 1

Given:  

The length of the ramp that Shawn is coasting down on his inline skates = 500 cm

The circumference of the wheel of his inline skates = 32 cm

To find:

The no. of rotations each of the wheel will make while Shawn is coasting down the ramp

Solution:

We know that the distance covered by the wheel of the inline skates of Shawn in 1 rotation will be equal to the circumference of the circular wheel.

Let "n" be the required no. of rotations made by the wheel while covering a distance of 500 cm.

So, we can form the eq. as

The distance covered by the wheels of the skates = n × [Circumference of the wheel ]

we will now substitute the given values

⇒ 500 = n × 32

⇒ n =   $\frac{500}{32}$

⇒ n =  15.625

we will take the final answer after rounding off to its nearest rotation

⇒ n ≈ 16

Thus, each wheel will make 16 rotations approximately while Shawn is coasting down the ramp.

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Answer 2

Answer:

16 rotations

Step-by-step explanation:

1. 500/32 = 15.625
2. 15.625 rounded = 16

Therefore, the answer is 16 rotations.

Why:

1. 500 and 32 are both given to you in distance. By divided 500 by 32 will give you how many times the shorter distance can fit into the longer distance. This will then give you the amount of rotations in the greater distance.
2. Once you have the answer, it asks for you to round to the nearest rotation. 15.625 rounds to 16 because 6 is in the tenths place. And we all know a number 5 or greater rounds up. So, 16 is the correct answer.