Simple Band Brake

Q. In a band brake the ratio of tight side band tension to the tension on the slack side is $3$. If the angle of overlap of band on the drum is ${180}^{\circ }$ the coefficient of friction required between drum and the band is

1. $0.20$
2. $0.25$
3. $0.30$
4. $0.35$

Q. 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 $200mm$ 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

1. $1200N$
2. $2110N$
3. $3224N$
4. $4420N$

Q. 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 $200mm$ 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 wheel torque that can be completely braked is

1. $200N.m$
2. $382N.m$
3. $604N.m$
4. $844N.m$

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

1. $1.88$
2. $3.56$
3. $6.12$
4. $11.56$