A model of a helicopter rotor has four blades, each of length 3.30 m from the central shaft to the blade tip. the model is rotat
1 answer:
This motion of helicopter rotor blade is an example of circular motion.
We have the angular velocity of rotor blade = 510 rev/min
= (510*2)/60
= 53.41 rad/s
We have the linear velocity of circular motion = radius * angular velocity
So the speed of the blade tip of helicopter = 53.41 * 3.30
= 176.24 m/s
Speed of the blade tip of helicopter = 176.24 m/s
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The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
Now,
When function p(t) = 11 , t will be
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity =
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
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