You Are Given the Rate of Rotation of a Wheel $$520$$

question 24

Multiple Choice

You are given the rate of rotation of a wheel as well as its radius. Determine the following: (a) the angular speed, in units of radians/sec; (b) the linear speed, in units of cm/sec, of a point on the circumference of the wheel; (c) and the linear speed, in cm/sec, of a point halfway between the center of the wheel and the circumference. $$520$$ rpm; $r = 45$ cm

• A) (a) 156 \(\pi\) radian/sec,
• (b) 780 \(\pi\) cm/sec,
• (c) 390 \(\pi\) cm/sec
• B) (a) \(166 ~\pi ~\mathrm { radian } / \mathrm { sec }\)
• (b) 1,278 \(\pi\) cm/sec,
• (c) 400 \(\pi\) cm/sec
• C) (a) \(\frac { 52 \pi } { 11 }\) radian/sec,
• (b) 1,248 \(\pi\) cm/sec,
• (c) 624 \(\pi\) cm/sec
• D) (a) 520 \(\pi\) radian/sec,
• (b) 780 \(\pi\) cm/sec,
• (c) 1,560 \(\pi\) cm/sec
• E) (a) \(\frac { 52 \pi } { 3 }\) radian/sec,
• (b) 780 \(\pi\) cm/sec,
• (c) 390 \(\pi\) cm/sec

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Definitions:

Housing

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Income Increase

A rise in the amount of money earned by an individual or collected by an organization, often measured on a monthly or yearly basis.

Cross-price Elasticity

A measure of how the quantity demanded of one good responds to a change in price of another good, indicating the degree of substitutability or complementarity between the two goods.

Good W

A hypothetical product or service used in economic examples or theories to discuss various economic principles.