Given :
An inclined plane is used to lift a box into a moving truck. The ramp is 6 m long and 1.5 m.
To Find :
The mechanical advantage of the inclined plane.
Solution :
Mechanical advantage, M.A of an inclined plane is given by :
Putting given values in above equation, we get :
Therefore, the mechanical advantage of the inclined plane is 4.
Answer:
The mass's acceleration is 5 m/s^2 in the minus X direction and 9,8 m/s^2 in the minus Y direction.
Explanation:
By applying the second Newton's law in the X and Y direction we found that in the minus X direction an external force of 10 N is exerted, while in the minus Y direction the gravity acceleration is acting:
X-direction balance force:
Y-direction balance force:
Where ax and ay are the components of the respective acceleration and m is the mass. By solving for each acceleration:
Note that for the second equation above the mass is cancelled and, the Y direction acceleration is minus the gravity acceleration:
For the x component aceleration we must replace the Newton unit:
Answer:
(a) The resistor disspates 103680 joules during a 24-hour period.
(b) The heat flux of the resistor is approximately 4340.589 watts per square meter.
(c) The fraction of heat dissipated from the top and bottom surfaces is 0.045.
Explanation:
(a) The amount of heat dissipated (), measured in joules, by the cylindrical resistor is the power multiplied by operation time (
), measured in hours. That is:
(1)
If we know that and
, then the amount of heat dissipated by the resistor is:
The resistor disspates 103680 joules during a 24-hour period.
(b) The heat flux (), measured in watts per square meter, is the heat transfer rate divided by the area of the cylinder (
), measured in square meters:
(2)
(3)
Where:
- Diameter, measured in meters.
- Length, measured in meters.
If we know that ,
and
, the heat flux of the resistor is:
The heat flux of the resistor is approximately 4340.589 watts per square meter.
(c) Since heat is uniformly transfered, then the fraction of heat dissipated from the top and bottom surfaces (), no unit, is the ratio of the top and bottom surfaces to total surface:
(3)
If we know that and
, then the fraction is:
The fraction of heat dissipated from the top and bottom surfaces is 0.045.