An airplane propeller is rotating at 2000 rev/min. A. Compute the propeller's angular velocity in rad/s .

B. How long in seconds does it take for the propeller to turn through 36∘?

A) The angular velocity of the propeller is 209.44 rad/s

B) The time it takes for the propeller to turn through 36° = 0.003 sec

Given data :

Airplane rotates at 2000 rev/min

A) Calculating the angular velocity of the propeller in rad/s

Given that : 180° = π rad ,  1 minute = 60 secs

Angular velocity = Δ angular rotation / Δ in time

∴ Angular velocity = (2000 ) * ( 2π ) * (1 / 60 )

                               = 209.44 rad/s

B) Determine how long it will take for the propeller to turn 36°

First step : convert angular velocity from A to degree/secs

               = 209.44 rad/s * ( 180 / π )  = 12,000 °/s

next step : determine the time taken ( t ) to turn through 36° using this relation below

36° = ( 12,000 degrees/sec ) * t

make t subject of the relation

∴ t = 36 / 12,000 = 0.003 sec.

Hence we can conclude that The angular velocity of the propeller is 209.44 rad/s and The time it takes for the propeller to turn through 36° = 0.003 sec.

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A 1 complete revolution corresponds to an angular displacement of 2π rad, or 360º. (So there are 180º for every π rad.) Also, there are 60 seconds to 1 minute. So, the angular velocity in rad/s is

(2000 rev/min) * (2π rad/rev) * (1/60 min/s) = 200π/3 rad/s

or approximately 209.44 rad/s.

B First convert the angular velocity to degrees per second (º/s):

(200π/3 rad/s) * (180/π º/rad) = 12,000 º/s

We want to find the time t it would take for the propeller to turn 36º:

36º = (12,000 º/s) t

==>  t = 36º / (12,000 º/s) = 3/1000 s

or approximately 0.003 s.

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it