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

---

Definitions:

Uncertainty

The state of having limited knowledge about an existing condition or future outcome, making it difficult to make accurate predictions or decisions.

Pessimist

A pessimist is an individual who tends to see the worst aspect of things or believe that the worst will happen, often focusing on negatives rather than positives.

Decision Trees

A graphical tool that helps in decision-making by laying out different strategies and their possible outcomes in a tree-like diagram.

Sequential Problems

Issues or tasks that must be resolved or completed in a specific, linear order, often dependent on the completion of the previous step.