Answer:
The vertical component of the force is 1352 pounds.
Step-by-step explanation:
Given that,
Force acting on the tree trunk, F = 3200 pounds
The truck's cable makes an angle of 25 degree with the vertical. We need to find the vertical component of the force. We know that the force is a vector quantity. The vertical component is given by :
Hence, the vertical component of the force is 1352 pounds.
Answer:
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:
You must observe the figure given in the exercise.
You can notice that the given triangle EFG is a Right triangle (Right triangles are defined as those triangles that have an angle that measures 90 degrees).
So, you can identify in the figure that:
So, knowing these values, you can substitute them into and then you must evaluate (Remember to round the result to the nearest hundreth).
Therefore, through this procedure you get:
Answer:
.
Step-by-step explanation:
Let x represent height of the cone.
We have been given that Sand pouring from a chute forms a conical pile whose height is always equal to the diameter.
We know that radius is half the diameter, so radius of cone would be .
We will use volume of cone formula to solve our given problem.
Upon substituting the value of height and radius in terms of x, we will get:
Now, we will take the derivative of volume with respect to time as:
Upon substituting and
, we will get:
Therefore, the sand is pouring from the chute at a rate of .