If the mine winch drum diameter is 4,5 calculate how far the counterweight will lift for each single rotation of the drum use th
1 answer:
The counter weight lifted in each rotation of drum is 14.13m
The diameter of drum is: d = 4.5m
We know that in a winch there's cable that's connected from the weight to be lifted to the drum, around which it's rolled. So the distance the counterweight is lifted corresponds to the circumference of the drum. The expression to calculate the counter weight lifted in every single rotation of the drum is given by,
= C = πd
Substituting the value of 'd' in the above expression
C = 22/7 x 4.5
C = 14.13m
Thus, the counter weight lifted in each rotation of drum is 14.13m
Learn more about Drum at:
#SPJ4
You might be interested in
Answer:
y=2(x-5/2)2-35/2 that is the answer for the rewrite
Answer:
a)
Price=150.414-16.626 Age
b)
$34.032
c)
We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model
Step-by-step explanation:
Age(X) Price(Y)
8 18
3 94
6 50
9 21
2 145
5 42
6 36
3 99
a)
The regression equation can be written as
y=a+bx
a=ybar-bxbar
xbar=sumx/n
xbar=(8+3+6+9+2+5+6+3)/8=5.25
ybar=sumy/n
ybar=(18+94+50+21+145+42+36+99)/8=63.125
x y x-xbar y-ybar (x-xbar)^2 (x-xbar)(y-ybar)
8 18 2.75 -45.125 7.5625 -124.09375
3 94 -2.25 30.875 5.0625 -69.46875
6 50 0.75 -13.125 0.5625 -9.84375
9 21 3.75 -42.125 14.0625 -157.96875
2 145 -3.25 81.875 10.5625 -266.09375
5 42 -0.25 -21.125 0.0625 5.28125
6 36 0.75 -27.125 0.5625 -20.34375
3 99 -2.25 35.875 5.0625 -80.71875
Total 43.5 -723.25
b=-723.25/43.5
b=-16.626
a=ybar-bxbar
a=63.125-(16.626)*5.25
a=150.414
Thus, the required regression equation is
y=150.414-16.626 x
Price=150.414-16.626 Age
b)
For predicting price of 7 years old car we put x=7 in the estimated regression equation
y=150.414-16.626 x
y=150.414-16.626(7)
y=150.414-116.382
y=34.032
The predicted price of a 7 year old car is $34.032.
c)
We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model. The estimate of price is only valid for 2 to 9 year old car.