the rotating base variation of the linear inverted pendulum

英语翻译
The crankshaft is a rotating member with offset throws to move the pistons up and down the cylinder.It revolves in the bearing saddles of the block and changes the up-and-down motion of the piston into a rotary one.The rear end of the crankshaft is connected to the clutch and transmission in order to drive the car.

如何理解这句话(物理的)
Explain why a rotating gas tends to flatten out and spin faster as it contracts.

minimum undercut controlled by 180°rotating 这个中文意思是什么?
peak controlled by 180°rotating 这句也请翻译下?谢谢.

一道微积分问题
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ π/4; about y = −1

kg*m2 是什么单位?
The moment of inertia of an asteroid rotating about its own axis is 5.00x10的四次方kg*m2. Its angular velocity is 40 rad/s If a force acts on the asteroid for 0.1s, increasing the angular velocity to 48rad/s, find its magnitude.
如果可以的话,请帮我解答.实在想不出答案

英语翻译
he linear velocity of the centre of mass of the rotating foot (v foot) hitting
the ball is directly proportional to the product of the angular velocity and
the radius of rotation of the consecutive body segments and the linear velocity
of the hip joint.

A generator is constructed by rotating a coil of N turns in a magnetic field B at a frequency f.The internal resistance of the coil is R and the cross sectional area of the coil is A.
Which of the following statements are true?(Give ALL correct answers,i.e.,B,AC,BCD...)
A) The amplitude of the induced EMF doubles if the frequency f is doubled.
B) The amplitude of the induced EMF doubles if the magnetic field B is doubled.
C) The amplitude of the induced EMF doubles if the resistance R is doubled.
D) The maximum induced EMF occurs when the coil is rotated about an axis parallel to the magnetic field lines.
E) The amplitude of the induced EMF doubles if the area A is doubled.
F) The maximum induced EMF occurs when the coil is rotated about the axis of the coil.

英语翻译
A milling machine removes metal by rotating a multi-toothed cutter that is fed into the moving work piece.The spindle can be fed up and down with a quill feed lever on the head.

英语翻译
1、For Body Structures,all "Air Float" type rotating turntables used for part load/unload shall incorporate a cycling hard stop that pivots in to provide location accuracy for the load/unload positions.The hard stop pivots out prior to the next rotation of the turntable.
2、All pneumatic valve manifolds or manifold banks are to be shown and called out
as having pressure and exhaust ports piped from both ends.Manifolds to have service for maximum flow.
3、Manifold banks are limited to a total of six valve stations.Manifold banks with two
or more valves shall have two mufflers at each end for a total of four.Any manifold flowing lubricated air shall have a filter / reclassifier,one pipe size larger than the largest exhaust port,piped to each end of the manifold for a total of two.