A force of $$400$$ $$N$$ is applied to the brake drum of $$0.5$$ $$m$$ diameter in a band-brake system as shown in the figure, where the wrapping angle is $${180^ \circ }$$ . If the coefficient of friction between the drum and the band is $$0.25,$$ the braking torque applied, in $$N.m$$ is

A band brake having band-width of $$80mm,$$ drum diameter of $$250mm,$$ coefficient of friction of $$0.25$$ and angle of wrap of $$270$$ degrees is required to exert a friction torque of $$1000N$$-$$m$$. The maximum tension (in $$kN$$) developed in the band is

A block brake shows below has a free width of $$300$$ $$mm$$ and a mean coefficient of friction of $$0.25$$. For an activating force of $$400$$ $$N$$, the braking torque in $$N$$-$$m$$ is

A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of $$200$$ $$mm$$ and the wrap angle of the band is $${270^ \circ }$$. The braking force applied to the lever is limited to $$100N,$$ and the coefficient of friction between the band and the wheel is $$0.5.$$ No other information is given.

The maximum tension that can be generated in the band during braking is