A semi-trailer truck has a speed of 60 mph and an engine speedof 1850 rpm. The d

Question

A semi-trailer truck has a speed of 60 mph and an engine speedof 1850 rpm. The driver accelerates to 65 mph in 26 seconds whilethe engine speed increases to 2005 rpm. (a) What is the linear acceleration of the truck inft/s? (b) What is the angular acceleration of the engine inrpm/s? (c) What is the angular acceleration of the engine inrad/s? A semi-trailer truck has a speed of 60 mph and an engine speedof 1850 rpm. The driver accelerates to 65 mph in 26 seconds whilethe engine speed increases to 2005 rpm. (a) What is the linear acceleration of the truck inft/s? (b) What is the angular acceleration of the engine inrpm/s? (c) What is the angular acceleration of the engine inrad/s?

Explanation / Answer

(a)Acceleration is defined as change in velocity over time so: a=V/t; we must convert (65-60)=5mi/hr to ft/s5mi/hr=5(5280)/3600=7.33ft/s =(7.33)/26 =.28ft/s2 (b)similarily: =/t =155rpm/26s=5.96rpm/s (c)converting rpm/s to rad/s 1rpm=2rad 5.96rpm/s=5.96(2)rad/s=37.46rad/s

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