Answer:
I would say false but I am not for sure
Answer:
The mechanical advantage is 3 to 1
Explanation:
A frictionless pulley with three support ropes carries equal tension on each of the ropes thus;
Tension in each pulley rope = T
Total tension in the 3 ropes = 3 × T = 3·T
Direction of the tension forces on each rope = Unidirectional
Total force provided by the 3 ropes = 3·T
Therefore, a force, T, applied at the end of the rope will result in a lifting force of 3·T
Hence, the mechanical advantage = 3·T to T which is presented as follows;
![Mechanical \ advantage = \dfrac{3 \cdot T}{T} = \dfrac{3}{1}](https://tex.z-dn.net/?f=Mechanical%20%5C%20advantage%20%3D%20%5Cdfrac%7B3%20%5Ccdot%20T%7D%7BT%7D%20%20%3D%20%5Cdfrac%7B3%7D%7B1%7D)
The mechanical advantage = 3 to 1.
Answer:
Yes, fracture will occur
Explanation:
Half length of internal crack will be 4mm/2=2mm=0.002m
To find the dimensionless parameter, we use critical stress crack propagation equation
and making Y the subject
![Y=\frac {K}{\sigma_c \sqrt {a\pi}}](https://tex.z-dn.net/?f=Y%3D%5Cfrac%20%7BK%7D%7B%5Csigma_c%20%5Csqrt%20%7Ba%5Cpi%7D%7D)
Where Y is the dimensionless parameter, a is half length of crack, K is plane strain fracture toughness,
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](https://tex.z-dn.net/?f=Y%3D%5Cfrac%20%7BK%7D%7B%5Csigma_c%20%5Csqrt%20%7Ba%5Cpi%7D%7D%3D%20%5Cfrac%20%7B40%7D%7B300%5Csqrt%20%7B%280.002%2A%5Cpi%29%7D%7D%3D1.682)
When the maximum internal crack length is 6mm, half the length of internal crack is 6mm/2=3mm=0.003m
and making K the subject
and substituting 260 MPa for
while a is taken as 0.003m and Y is already known
![K=260*1.682*\sqrt {0.003*\pi}=42.455 Mpa](https://tex.z-dn.net/?f=K%3D260%2A1.682%2A%5Csqrt%20%7B0.003%2A%5Cpi%7D%3D42.455%20Mpa)
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
Scientific notation is another way to write a number. In scientific notation, the letter E is used to mean "10 to the power of." For example, 1.314E+1 means 1.314 * 101 which is 13.14 . Scientific notation is merely a format used for input and output.
Answer:
Heat transfer rate(Q)= 1.197kW
Power output(W)=68.803kW