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calculate the momet of inertia along x axis
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- Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. (For each answer, enter a number.) (a) Calculate the magnitude (in m/s?) of the centripetal acceleration at the tip of a 3.00 m long helicopter blade that rotates at 240 rev/min. m/s? (b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s). Vtip/V soundNewton's second law for uniform circular motionA tire 1/2 m in radius rotates at a constant rate of 240 rev/min. Use v = rw to find the linear speed in meters/sec of a small stone lodged in the tread of the tire (on its outer edge).
- A disc accelerates uniformly from 300 revolutions per minute to 600 revolutions per minute in 25 (s). What is the linear acceleration of a point on the rim of the disc, if the radius of the disc is 250 mm.The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose thisantelope runs in a circle with a radius of 35.0 m. If a force of 8.8 N maintains this circularmotion, what is the antelope’s tangential speed?A rectangular Plate is rotating with a constant angular speed about an axis that passes perpendcularly sthrough one corner. The centripetal acceleration measured at a corner A is n times as great times as that measured at corner B. What is the ratio L1/L2 of the lengths of the sidse of the rectangle when n=3.95
- A mixture of violet light (wavelength of 410 nm) and red light (wavelength of 660 nm)falls on a diffraction grating that contains 1 x 104 lines/cm. For each wavelength, find theangle that corresponds to the first-order maxima. Draw a sketch to support your answer.(violet 24 degrees; red 41 degrees)The Earth orbits the Sun in a near circular orbit of radius 1.5 × 1011m. Find themagnitude of Earth’s velocity, angular velocity, and circular acceleration as itorbits the Sun. Hint: You already know the period of this orbit. A car starts from rest on a curve with a radius of 120 m and acceleratedtangentially at a constant 1.0 Τm s2. Through what angle will the car havetravelled when the magnitude of its total acceleration is 2.0 m/s2?How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to experience an acceleration of 117000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500.