5. For what purpose do bats use ultrasonic waves?
1 answer:
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Answer:
46.2 rad/s2
Explanation:
Angular acceleration works very similar to linear acceleration, it follows this equation:
Where:
γ: angular acceleration
Mt: torque
J: moment of inertia of the load from its turning axis
Since we have the torque we just need the moment of inertia. We have to add together the moments of the drive shaft, tires, wheel walls and wheels.
The wheels act like disks. For disks the moment of inertia is:
The wheel walls act like annular rings, for these the moment of inertia is:
The tread acts like a hoop, as in mass concentrated into a circunference, for these:
The axle acts like a rod, which is the same as the disk:
The drive shaft acts like a rod too:
SO, the total moment of inertia is:
J = 2*Jwheel + 2*Jwall + 2*Jtread + Jaxle + Jshaft
J = 2*0.243 + 2*0.07 + 2*1.09 + 0.0028 + 0.016 = 2.82 kg*m2
Finally the angular acceleration is:
Answer:
5.791244495 KNm
Explanation:
The height h is given by,
Potential energy, PE is given by
PE=mgh where m is mass of the woman, g is acceleration due to gravity whose value is taken as and h is already given hence substituting 77 Kg for m we obtain
PE=21.6567095 KNm
We also know that Kinetic energy is given by where v is the velocity and substituting v for 20.3 we obtain
KE=15.865465 KNm
Friction work is the difference between PE and KE hence
Friction work=21.6567095 KNm-15865.465 Nm=5.791244495 KNm