1. (a) A grinding wheel of radius 7.6 cm is rotating at 1750 rpm. (i) What is the speed of a point on the outer edge of the wheel? (ii) What is the centripetal acceleration of the point? (b) A "swing" ride at a carnival consists of chairs that are swung in a horizontal circle by 14.6 m cables attached to a vertical rotating pole, as shown in the picture below, with the cable at a 60° angle from the pole. (i) Determine the tension in the cable attached to the chair. (ii) Find the speed of the chair. 60° (c) In Homework 5 question 5, you calculated the orbital period of a planet. Now let us determine the mass of the star that it is orbiting about. Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are 45.0 km/s and 57.5 km/s. The slower planet's orbital period is 7.24 years. What is the mass of the star?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. (a) A grinding wheel of radius 7.6 cm is rotating at 1750 rpm.
(i) What is the speed of a point on the outer edge of the wheel?
(ii) What is the centripetal acceleration of the point?
(b) A "swing" ride at a carnival consists of chairs that are swung in a horizontal
circle by 14.6 m cables attached to a vertical rotating pole, as shown in the
picture below, with the cable at a 60° angle from the pole.
(i) Determine the tension in the cable attached to the chair.
(ii) Find the speed of the chair.
60°
(c) In Homework 5 question 5, you calculated the orbital period of a
planet. Now let us determine the mass of the star that it is orbiting about.
Two newly discovered planets follow circular orbits around a star in a distant
part of the galaxy. The orbital speeds of the planets are 45.0 km/s and 57.5
km/s. The slower planet's orbital period is 7.24 years. What is the mass of
the star?
Transcribed Image Text:1. (a) A grinding wheel of radius 7.6 cm is rotating at 1750 rpm. (i) What is the speed of a point on the outer edge of the wheel? (ii) What is the centripetal acceleration of the point? (b) A "swing" ride at a carnival consists of chairs that are swung in a horizontal circle by 14.6 m cables attached to a vertical rotating pole, as shown in the picture below, with the cable at a 60° angle from the pole. (i) Determine the tension in the cable attached to the chair. (ii) Find the speed of the chair. 60° (c) In Homework 5 question 5, you calculated the orbital period of a planet. Now let us determine the mass of the star that it is orbiting about. Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are 45.0 km/s and 57.5 km/s. The slower planet's orbital period is 7.24 years. What is the mass of the star?
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