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gladu [14]
4 years ago
5

A disk brake has two pads which cover 45 degrees of the disk. The outside radius is 6.0 inch and the inside radius is 4.0 inch.

Assume a coefficient of friction of 0.4, and a max pressure, pa=100 psi. a) Find the force required to apply one pad. b) Find the torque capacity for both pads.
Engineering
1 answer:
Alona [7]4 years ago
7 0

Answer:

f = 628.32 lb

t = 2513.28 lb-inc

Explanation:

given data:

θ = 45°

outside radius = 6 inch

inside radius = 4 inch

coefficient of friction = 0.4

max pressure = 100 psi

a) determine force required for applying one pad

f =    \frac{\theta }{360}* 2\pi *p_{max}*r_{i}(r_{o}-r_{i})

f = \frac{45 }{360}* 2\pi *100*4(6-4)

f = 628.32 lb

b) torque capacity (t)

t = \mu *f*r_{average}^{}

t = 0.4 *628.32*5

torque = 1256.64 lb-inc

for both pad = 2 * 1256.64 =2513.28 lb-inc

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Y=\frac {K}{\sigma_c \sqrt {a\pi}}

Where Y is the dimensionless parameter, a is half length of crack, K is plane strain fracture toughness, \sigma_c  is critical stress required for initiating crack propagation. Substituting the figures given in question we obtain

Y=\frac {K}{\sigma_c \sqrt {a\pi}}= \frac {40}{300\sqrt {(0.002*\pi)}}=1.682

When the maximum internal crack length is 6mm, half the length of internal crack is 6mm/2=3mm=0.003m

\sigma_c=\frac {K}{Y \sqrt {a\pi}}  and making K the subject

K=\sigma_c Y \sqrt {a\pi}  and substituting 260 MPa for \sigma_c  while a is taken as 0.003m and Y is already known

K=260*1.682*\sqrt {0.003*\pi}=42.455 Mpa

Therefore, fracture toughness at critical stress when maximum internal crack is 6mm is 42.455 Mpa and since it’s greater than 40 Mpa, fracture occurs to the material

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A 75-hp (shaft output) motor that has an efficiency of 91.0% is worn out and is replaced by a high-efficiency 75-hp motor that h
Len [333]

Answer:

the reduction in the heat gain is 2.8358 kW

Explanation:

Given that;

Shaft outpower of a motor W_{shaft} = 75 hp = ( 75 × 746 ) = 55950 W

Efficiency of motor n_{motor} = 91.0% = 0.91

High Efficiency of the motor n_{high-eff} = 95.4% = 0.954

now, we know that, efficiency of motor is defined as; n_{motor} = W_{shaft} / W_{elec}

where W_{elec}  is the electric input given to the motor

so

W_{elec} = W_{shaft} / n_{motor}

we substitute

W_{elec} = 55950 W / 0.91

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now, the electric input given to the motor due to increased efficiency will be;

W_{elec-incresed} = W_{shaft} / n_{high-effic}

we substitute

W_{elec-incresed} = 55950 W / 0.954

= 58647.79 W

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so the reduction of the heat gain of the room due to higher efficiency will be;

Q = W_{elec} - W_{elec-incresed}

we substitute

Q = 61.4835 kW - 58.6477 kW

Q = 2.8358 kW

Therefore, the reduction in the heat gain is 2.8358 kW

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3 years ago
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