1) draw a diagram.
2) label diagram. (split the 100 degrees into 50, (which is right down the middle) to make a right angle triangle.)
3) since its a free body diagram, the forces known must be labelled. (force of gravity). this shows that the straight vertical line of the right angle triangle is Fg (force gravity). label it.
4) use trigonometry. rearrange the equation to solve for what needs to be known.
angles known: 50 (split 100 in half to make a right angle triangle), 90 (since its right angle), and 40 (180-90-50 = 40)
sides known: vertical lined up with the 90 degree angle. Fg. --> fg=mg=500N x 9.81m/s^2 = 4905N
use formula: sin or cos
i used sin. sin(40) = 4905 / ?
- times '?' on both sides. : sin(40) x '?' = 4905
-divide both sides by sin(40): '?' = 4905/ sin(40)
--> Solve.
Answer:
0.00066518 Nm
Explanation:
v = Velocity = 1.2 m/s
r = Distance to head = 2.3 cm
= Final angular velocity
= Initial angular velocity = 0
= Angular acceleration
t = Time taken = 2.4 s
Angular speed is given by

From equation of rotational motion

Torque

The torque of the motor is 0.00066518 Nm
This question deals with the volume of different shapes.
a) volume of the sphere is "33.51 m³".
b) volume of the cylinder is "25.13 m³".
a)
The volume of a sphere is given by the following formula:

<u>Volume = 33.51 m³</u>
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b)
The volume of a cylinder is given by the following formula:

<u>Volume = 25.13 m³</u>
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Learn more about <em>volume </em>here:
brainly.com/question/16686115?referrer=searchResults
The attached picture shows the formulae of the <em>volume</em> of different shapes.
Answer:
aaaaa
Explanation:
M = Mass of the Earth
m = Mass of satellite
r = Radius of satellite
G = Gravitational constant



