**1a)** Convert \(45.0^\circ\) to radians.**1b)** Convert \(20.0\) rad to revolutions.**1c)** Convert \(76.5\) rpm to rad/s.**2)** A bicyclist starting at rest produces a constant angular acceleration of \(1.70 \, \text{rad/s}^2\) for wheels that are \(37.5 \, \text{cm}\) in radius.(2a) What is the bicycle's linear acceleration (in m/s\(^2\))? (Enter the magnitude.)(2b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches \(11.2 \, \text{m/s}\)?

Hai, since there multiple questions posted, we will answer the first question. 1a) 2π radian corresponds to 360°. The given quantity in degrees can be converted into radians as, 45.0°=45.0°×2π rad360°=π4 rad=0.7854 rad 1b) 1 revolution corresponds to 2π radians. The given quantity in radian can be converted into revolutions as, 20.0 rad=20.0 rad1 rev2π rad=3.183 rev1c) The given quantity in rpm can be converted into rpm as 76.5 rpm=76.5 rpm×2π rad1 rev×1 min60 s=8.011 rad/s

Answered: la) Convert 45.0 ° to radians. 1b)…

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la) Convert 45.0 ° to radians. 1b) Convert 20.0 rad to revolutions. 1c) Convert 76.5 rpm to rad/s.

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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