Rotational Motion - Problem Sheet - v4
.pdf
School
University of East Anglia**We aren't endorsed by this school
Course
ENG 4008
Subject
Mechanical Engineering
Date
Jan 4, 2025
Pages
7
Uploaded by AdmiralExplorationApe48
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Problem Sheet 1 Rotational Motion Please attempt these problem sheets at home or in the problem-solving groups. There will be the opportunity to resolve any remaining issues in the second half of the lecture. For each of these questions, you should ensure that you: •Include a diagram including all information. •Work with algebra, rather than numbers. •Give a thorough explanation.•Use a scientific calculator.The letters (C) and (E) indicate that the question is at a competence or excellence level Question 1 –Southwold Lighthouse (C) The bulb on Southwold lighthouse rotates every 10 s. Determine its angular frequency.
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Question 2 –Unicycle (C) You are riding a unicycle with a diameter of 700 mm and are moving forward at 4.0 ms-1. Determine the angular velocity of the wheel.
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Question 3 –Annual Question (C/E) The planet Earth has a mass of 5.972x1024kg and the radius of its orbit around the Sun is approximately 150,000,000 km. Determine: a)The angular frequency of the earth’s orbit around the sun.b)The moment of inertia of the earth’s orbit around the sun.c)The kinetic energy associated with this rotation.
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Question 4 –Dreamliners & Jazzes (C/E) A Rolls Royce Trent 1000 engine, as fitted to Boeing 787 Dreamliners, rotates at 12,000 rpm. It takes around 60 s to reach its 60% of this. A 1.4l Honda Jazz has 16 inch diameter wheels and a 0-60 mph speed of 9.1 s. Determine: a)The angular acceleration of the Rolls Royce Trent 1000 engine. b)How does this compare to the wheels of a 7-year-old orange Honda Jazz?
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Question 5 –Seesaw (E) Two children are on either length of a 1.5 m seesaw. Once child has a mass of 30 kg and the other a mass of 15 kg. Determine the angular acceleration of the seesaw at the instant that it is level.
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Question 6 Railway Wheel –(E) An axle for a railway waggon has a wheel at each end. Determine the moment of inertial for rotation about the axis of the waggon. The density of steel and common moments of inertia are given in your data sheet. The dimensions of may be assumed to be: -For the axle, a diameter of 20 cm and a length of 1.5m. -The main part of the wheel, a 10 mm thickness disk of diameter 800 mm. -For the tyre, a 200 mm rim of thickness 75 mm.
Mechanics & Materials Problem Sheet 2 Rotational Motion Version 3 Numerical Solutions 10.63 rad s-1(2sf) 211.4 rad s-1(3sf) to the left of the rider. 3a 1.99x10-7rad s-1(3sf) b 1.34x1047rad s-1(3sf) c 2.66x1033J (3sf) d 2.68x1040kgm2s-1(3sf) 4a 12.6 rad s-2(3sf) b 14.4 rad s-2(3sf) 54.36 rad s-2(3sf) 6130 kg m2(2sf)