High School

We appreciate your visit to A wheel with a radius of 36 9 cm rotates 4 35 times every second 1 Find the period of this motion 2 What is. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A wheel with a radius of 36.9 cm rotates 4.35 times every second.

1. Find the period of this motion.
2. What is the tangential speed of a wad of chewing gum stuck to the rim of the wheel?

Answer :

Final answer:

The period of the rotation of the wheel is 0.23 seconds, and the tangential speed of the chewing gum stuck on the rim of the wheel is approximately 10.06 m/s.

Explanation:

The question pertains to the theories of circular motion and tangential speed. To answer the question, we first need to find the period of the rotation. By definition, the period is the time for one complete rotation. Given that the wheel rotates 4.35 times every second, we thus have the period as T = 1 / 4.35 = 0.23 seconds.

Next, to find the tangential speed of the chewing gum stuck to the rim of the wheel, we utilise the formula for tangential speed: v = rω, where r is the radius of the wheel and ω is the angular velocity. However, since we are given the number of rotations per second, we can also think of tangential speed as the total path length (or circumference of the wheel) divided by the time. Therefore, v = 2πr/T. Substituting the given values, we get v = 2 * π * 0.369 m / 0.23 s ≈ 10.06 m/s. Thus, the tangential speed of the chewing gum is approximately 10.06 m/s.

Learn more about Tangential Speed here:

https://brainly.com/question/34144374

#SPJ11

Thanks for taking the time to read A wheel with a radius of 36 9 cm rotates 4 35 times every second 1 Find the period of this motion 2 What is. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada