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Chapter 1: Q3DQ (page 327)

Serious bicyclists say that if you reduce the weight of a bike, it is more effective if you do so in the wheels rather than in the frame. Why would reducing weight in the wheels make it easier on the bicyclist than reducing the same amount in the frame?

Short Answer

Expert verified

If we reduce the mass of wheel, it will reduce both kinetic energy due to transitional motion and rotational motion.

Hence reducing the mass of wheels is more effective.

Step by step solution

01

Transitional and rotational motion

(a) Translational Motion: In one or more of the three dimension:x, y, or z, translational motion refers to the sliding of an object. However, an item can still spin even if it is simply positioned at a specific x, y, and z coordinate.

(b) Rotational Motion: Continuous rotation of an object's internal axis is referred to as rotational motion.

02

Identification of given data

Here we have given that, if you reduce the weight of a bike, it is more effective if you do so in the wheels rather than in the frame

03

Finding why reducing weight in the wheels would make it easier on the bicyclist than reducing the same amount in the frame

Here we know that the frame has only transitional motion, whereas the wheel has both rotational and transitional motion.

So, if we reduce the mass of the wheel, it will reduce both kinetic energies due to transitional motion and rotational motion.

Hence reducing the mass of wheels is more effective.

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