3. What is the equation for the mechanical advantage of a lever?
1 answer:
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Answer:
( Angular Velocity = ( About ) 230 rad / s,
( Linear Speed = ( About ) 40.25 m / s,
( Acceleration = ( About ) 9290 m /
Explanation:
Here we want the angular velocity in radians per second, the linear velocity and acceleration.
The diameter = .35 meters, and thus we can conclude that the radius be half of that, or .175 meters. For part ( a ), or the calculation of the angular velocity, it is given that the diameter rotates at 2200 revolutions per minute - but we need to convert this into radians per second.
We can say that there are 2π radians for every minute, and for every minute there are 60 seconds. Therefore -
( a ) w = 2,200 rpm( 2π rads / rev )( 1 min / 60 sec )...
Hence, w = ( About ) 230 rad / s
_____
For this second part we can calculate the the linear velocity by multiplying the angular velocity ( omega ) by the radius r -
( b ) v = w( r ) - Substitute,
v = ( 230 rad / sec )( .175 m )...
v = ( About ) 40.25 m / s
_____
And for this last bit here, to find the acceleration we can simply take the angular velocity ( omega ) squared, by the radius r -
( c ) = w^2( r ),
= ( ( 230 rad / sec )^2 )( .175 m )...
= ( About ) 9290 m /
Answer:
20 [N], in the opposite direction of the first force.
Explanation:
We know that newton's second law stipulates that the sum of forces on a body must be equal to the product of mass by acceleration.
The negative sign means that the other force acting on the body must be in the opposite direction to the force of 30 [N]