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Friction & Centripital Motion

Friction & Centripetal Motion

An ambulance is making a turn along a road with a camber (θ = {MeQ7_Camber_theta}°) having a radius of curvature, r= {MeQ7_turn_radius}m. The mass of the ambulance is {MeQ7_Ambulance_Mass}kg. The coefficient of static friction between the tyres and the road (μ) is {MeQ7_CoFriction}. The angle that the ambulance subtends while making the turn (β) is {MeQ7_Turn_Beta}°.

$\"Ambulance$

The ambulance is at the maximum safe speed so no slipping occurs.

", "advice": "

see spreadsheet

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Road camber (θ)

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radius of curvature, r, (m)

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The mass of the ambulance (kg)

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The coefficient of static friction between the tyres and the road.

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The angle that the ambulance subtends while making the turn

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Part a) Use the vertical components of the forces acting on the ambulance to calculate the total normal reaction force (N_C)

[3marks]

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Part b) Resolve the horizontal forces acting on the Ambulance and write an expression that makes the normal reaction force the subject of the equation (i.e N_C = ….).

[3marks]

Part c) Calculate the maximum safe speed in km/h so no slipping occurs?

[3marks]

Part d) How long does it take to complete the turn?

[3marks]

Part e) What kinetic energy will the ambulance have at the end of the turn?

[3marks]

Ensure you include a free body diagram in your workings.

[5 Marks]

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