3. The angle that a wheel rotates as a function of time "t" is given by θ (t) = 8.5–15.0t ^ 2 + 1.6t ^ 4 where θ is in radians and "t" in seconds. (a) Determine an expression for the instantaneous angular velocity ω. (b) Determine an expression for the instantaneous angular acceleration α. (c) Evaluate ω and α at t = 3.0s. (d) What is the average angular velocity at t = 2.0s and t = 3.0s? (e) What is the average angular acceleration at t = 2.0 s and t = 3.0 s?

A rescue helicopter lifts a 81.9-kg person straight up by means of a cable. The person has an upward acceleration of 0.646 m/s2 and is lifted from rest through a distance of 8.59 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person. Please include all decimal points in answer! Thank you!

A proton follows the path shown in figure P21.74. Its initial speed is ??=1.9∗106??.Vo=1.9∗10^6 m/s.what is the protons speed as it passes through point P?

Please explain the process, test, and design of semiconductor chips.

The displacement of a block of mass 1.280 kg attached to a spring whose spring constant is 50 N/m is given by x = A cos ωt, where A = 12 cm. In the first complete cycle, find the values of x and t at which the kinetic energy is equal to one half the potential energy.

Please solve this advanced physics question

Q. What does it mean when we say that the topological structure of phase space of a two-dimensional simple harmonic oscillator corresponds to a "torus"?

The model of a suspension from a rover, including gravity is :  my'' + cy' + ky = −gm

m is the mass of the rover, c is the daming coefficient of the suspension, k is the spring constant, g is the gravity on the Earth. The gravity on the Mars is 1/3 on the Earth. This suspension is at critical damping. The initial displacement when the rover landed is -1m and velocity is -10m/s.

a) solve this ODE using trial solution.

b)calculate the displacement that rover after it comes to a stop if it landed on Earth

c) what about landed on Mars.

Two trains (on separate tracks) travel toward each other, the first at 60.0 km/s and the second at 40.0 km/s. Both turn on their whistle, the first one emitting a frequency of 200 Hz and the second one emitting a frequency of 220 Hz. What frequencies do they each receive if the speed of sound in air is 330 m/s? Hint: Draw a diagram or do this one in steps. Is the source or the observer moving?

1. Why do historical archaeology if we already have historical/written records? Be familiar with an example of how historical archaeology has either changed what we thought of the past or added information to the historical record.

2. Match the most appropriate trait to the dating technique.

1. Was used to date the Shroud of Turin

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence   

2. Can date volcanic materials that are millions of years old

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence

3. Dates the last time sand was exposed to sunlight sufficient to empty the elecron trap

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence

4. Used in the American Southwest to date logs and can be used for climate data

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence

5. Dates the last time an object was heated to 500C

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence

6. Example of a relative dating techinque

a. Seriation           

b. Opticaly stimulated luminescence           

c. Carbon-14           

d. Dendrochronology           

e. Argon-Argon           

f. Thermoluminescence

A small block with mass 0.0475kg slides in a vertical circle of radius 0.0770m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.90N

What are the dominant frequencies?

why dominant frequencies are present in the power spectra(FFT)?

In a given CRT, electrons are accelerated horizontally by 9.0 kV . They then pass through a uniform electric field E for a distance of 3.3 cm , which deflects them upward so they travel 19 cm to the top of the screen, 13 cm above the center.

Estimate the value of E. Neglect the upward distance that electron moves while in the electric field.

Please solve this non-linear physics question

Q. Choas can occur both in conservative and non-conservative systems. Explain what the difference between them is in the aspect of choas.

this remote sensing course.

1. List the steps of image processing?

2. If we are able to see beyond the visible spectrum and towards the infrared side of spectrum, what would we see more and why?

What is gravitational force ...