A digital system has been developed to measure temperatures in the range -20˚C to 100˚C. If the accuracy of the system is such that the maximum number of bits that it can represent is 10 bits, and the actual temperature being read is 37˚C, what is the closest possible value that the system could represent? Interprete your results.

A digital system has been developed to measure temperatures in the range -20˚C to 100˚C. If the accuracy of the system is such that the maximum number of bits that it can represent is 10 bits, and the actual temperature being read is 37˚C, what is the closest possible value that the system could represent? Interprete your results.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 48P: A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first...

See similar textbooks

Similar questions

Calculate the thermal conductivity with error. Error for Dave, h and t is all provided below. k is for glass 0.84. Calculate error by propagating uncertainty. Attached below is the formula and all the values.
(THE DETERMINATION OF BOILING POINT) Q.e 2 Why were the temperatures of an ice bath and a boiling water bath chosen for the calibration of the thermometer? please answer the question, thank you.
Police arrive at the murder scene at 1 am. Immediately, they take and record the body'stemperature, which is 80oF, and inspect the area for clues and evidence. By the time they finishthe inspection, it is 1:30 am. They again take the temperature of the body, which has dropped to70oF, and have it sent to the morgue. The temperature at the crime scene has remained steadyat 75oF. When was the person murdered?
Consider a low-speed flight of the space shuttle as it is nearing a landing. If the air pressure and temperature at the nose of the shuttle are 121,590 Pa and 400K, respectively, what is the density? detailed solution pls, Thank you
A surveyor uses a steel measuring tape that is exactly 75000m long at a temperature of 20 degree celcius? What is the length (in m) of the tape when them temperature is 35 degrees celcius? (in the image) The answer (in fundamental SI unit) is ___________ (type the numeric value only)
In a grid of wires, the temperature at exterior mesh poins is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance: T1=((T2)+(T3)+20-120)) divided by 4 Find the temperatures T1, T2, T3, T4 when the grid is in thermal equilibrium.
Referring to the copper ring in the previous problem, imaginethat initially the ring is hotter than room temperature, and thatan aluminum rod that is colder than room temperature fits snuglyinside the ring. When this system reaches thermal equilibrium atroom temperature, is the rod firmly wedged in the ring (A) or canit be removed easily (B)?
The goal in this problem is to find the growth of an ice layer as a function of time. Call the thickness of the ice layer L. (a) Derive an equation for dL/dt in terms of L , the temperature T above the ice, and the properties of ice (which can leave in symbolic form instead of substituting the numbers). (b) Solve this differential equation assuming that at t=0 , you have L=0 . If you have studied differential equations, you will know a technique for solving equations of this type: manipulate the equation to get dL/dt multiplied by a (very simple) function of L on one side, and integrate both sides with respect to time. Alternatively, you may be able to use your knowledge of the derivatives of various functions to guess the solution, which has a simple dependence on t. (c) Will the water eventually freeze to the bottom of the flask?
As the very first rudiment of climatology, estimate the temperature of Earth. Assume it is a perfect sphere and its temperature is uniform. Ignore the greenhouse effect. Thermal radiation from the Sun has an intensity (the "solar constant" S) of about 1370 W/m2 at the radius of Earth's orbit. (a) Assuming the Sun's rays are parallel, what area must S be multiplied by to get the total radiation intercepted by Earth? It will be easiest to answer in tens of Earth's radius, R. (b) Assume that Earth reflects about 30% of the solar energy it intercepts. In other words, Earth has an albedo with a value of A=0.3 . In terms of S, and R, what is the rate at which Earth absorbs energy from the Sun? (c) Find the temperature at which Earth radiates energy at the same rate. Assume that at the infrared wavelengths where it radiates, the emissivity e is 1. Does your result show that the greenhouse effect is important? (d) How does your answer depend on the area of Earth?
A mercury thermometer still in use for meteorology has a bulb with a volume of 0.780 cm3 and a tube for the mercury to expand into of inside diameter 0.130 mm. (a) Neglecting the thermal expansion of the glass, what is the spacing between marks 1 apart? (b) If the thermometer is made of ordinary glass (not a good idea), what is the spacing?
A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first omitting the negative sign and then thinking the temperature is Fahrenheit. That is, the person reads xC as xF . Oddly enough, the result is the correct Fahrenheit temperature. What is the original Celsius reading? Round your answer to three significant figures.
Verify the normalization equation 0f(v)dv=1 In doing the integral, first make substitution u=m2kBTv=vvp. This "scaling" transformation gives you all features of the answer except for the integral, which is a dimensionless numerical factor. You'll need the formula 0x2e x 2dx= 4 to find the numerical factor and verify the normalization.`