Answer:
Mechanical advantage: 4. Speed is multiplied
Explanation:
The mechanical advantage of gear combination is

where
is the number of teeth in the input gear
is the number of teeth in the output gear
Here we have

So we find

In this example, it is the speed to be multiplied: the speed of the output gear is 4 times larger than the speed of the input gear. In fact, the mechanical advantage can be rewritten as

where
is the angular speed of the input gear
is angular speed of the output gear
So re-arranging the equation, we find

so, the speed of the output gear is 4 times larger than the speed of the input gear.
Explanation:
Levitt and Dubner’s argument effectively uses logical, concrete evidence to arrive at conclusions about morality and cheating practices.the realities they present about sumo and the bagel business Their utilization of factual evidence in various illustrations shows morality and cheating practices are more common in high incentive situations where telling lies or an act of fooling people was rewarded awesomely. They use statistical evidence and different examples support the fact that Levitt and Dubner have arrived at a generalisation on moral grounds.
Answer:
(a) The "angular speed" is 5.88 rad/s.
Explanation:
Given values,
The length of the bar is L = 2m
The weight of the bar is w = 90 N
The metal bar is hanging vertically from the ceiling by a frictionless pivot
The mass of the ball is m = 3kg
The distance between the ceiling and the ball is d = 1.5m


(a) Calculating the angular speed:




The angular speed is 5.88 rad/s.
(b) The "angular momentum" is conserved because the torque is not exerted by "the pivot" on the system about the "axis of rotation" but the "linear momentum" is not conserved because "the pivot" exerts a "vertical" and a "horizontal force" on the system during the collision.
Answer:
1471.5 Newton
10
Explanation:
Small piston area = A₁ = 2 m²
Large piston area A₂ = 20 m
m = Mass of car = 1500 kg
g = Acceleration due to gravity = 9.81 m/s²
Force
F = mg = 1500×9.81 = 14715 N
Force applied by car is 14715 N
a) Pascal's law

Force required is 1471.5 Newton
b) Mechanical advantage

Mechanical advantage is 10
Answer:1.7 rev/s
Explanation:
Given
Frequency of wheel 
angular speed 
mass of wheel 
diameter of wheel 
radius of wheel 
mass of clay 
the radius of the chunk of clay 
Moment of inertia of Wheel

Combined moment of inertia of wheel and clay chunk

Conserving angular momentum

Common frequency of wheel and chunk of clay is
