Grade 12Mechanics

The blades of an aeroplane propeller are 2m long and rotate at 300rpm. Calculate :1. frequency

period of rotation

angular velocity

linear velocity of a point on the blades 0.5m from the tip of the blades.

Aoishi

9 Years agoGrade 12

1 Answer

Vikas TU

9 Years ago

Dear Student,

From the conservation of angular momenta we know,

So at tip of the blade,

I1 *w1 = I2 *w2

where I1 and I2 are the respective angular momentums and w1 and w2 are the angular velicties respectively.

ml^2/3 * 300 = m(0.25l)^2/3 * w

get the value of w from here.\

For Time period it would be: T = 2pi/w

for frequency, f = 1/T

and linear velocity v = w*x where x = 1.5 m from hinge.

Cheers!!

Regards,

Vikas (B. Tech. 4^th year
Thapar University)

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The blades of an aeroplane propeller are 2m long and rotate at 300rpm. Calculate :1. frequency period of rotation angular velocity linear velocity of a point on the blades 0.5m from the tip of the blades.

Aoishi

1 Answer

Vikas TU

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period of rotation

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