Question

A tractor rated to deliver a total of 20 kN.m of torque (moment) at its rear wheels is to be used to drag a loaded silo, a short distance across a rough horizontal concrete surface. Given the co-efficient of friction between the steel and the concrete is 0.6, the radius of the rear wheels is 0.8 m. (i) What is the maximum mass of the silo (in kg) that can be dragged with this tractor? Ignore the effect of initially getting the silo moving. (20 marks) (ii) Given the power rating of the tractor at its wheels is 7.5 kW and the relationship between Power and Torque (moment) is given by P=T x omega. (omega) is the rotational speed of the wheels in rad/s. What is the maximum speed (in m/s) at which the silo can be dragged with this tractor?

          A tractor rated to deliver a total of 20 kN.m of torque (moment)
at its rear wheels is to be used to drag a loaded silo, a short
distance across a rough horizontal concrete surface. Given the
co-efficient of friction between the steel and the concrete is 0.6,
the radius of the rear wheels is 0.8 m.
(i) What is the maximum mass of the silo (in kg) that can be
dragged with this tractor? Ignore the effect of initially getting
the silo moving. (20 marks)
(ii) Given the power rating of the tractor at its wheels is 7.5
kW and the relationship between Power and Torque (moment) is given
by P=T x omega.  (omega) is the rotational speed of the wheels
in rad/s. What is the maximum speed (in m/s) at which the silo can
be dragged with this tractor?

Added by Jaclyn K.

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