A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0...

A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0 cm and moment inertia of 0.800kg-m^2. Find the trucks (a) translational energy and (b) rotational energy when the truck is moving at a speed of 25.0 m/s

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Expert Solution

mass of the truck m = 1.72*10³ kg

radius of the wheel r = 33 cm = 0.33 m

moment of inertia I = 0.800 kg.m²

Truck has 4 wheel.

speed of the truck v = 25 m/s

translational kinetic energy (K.E)t = (1/2) mv²

= (1/2)(1.72*10³)(25)²

= 537.5 *10^3 J for 1 wheel

Total translational kinetic energy = (537.5*10³ *4 ) J

= 2150 *10^3 J

speed of the car v = 25 m/s

rotational energy is

(K.E)r = (1/2) Iω² [since ω = v/r]

= (1/2)(I)(v/r)²

= (1/2)(0.800)(25/0.33)²

= 2295.68 J for 1 wheel

Total rotational energy of truck = (2295.68*4)J

= 9182.7 J

genius_generous answered 1 year ago

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