A surveyor uses a steel measuring tape that is exactly 75000 m long at a temperature of 20 degrees Celsius. What is the length (in m) of the tape when the temperature is 35 degrees Celsius? (xsteel = 1.2x10-5/K). The answer (in fundamental SI unit) is ______. (type the numerical value only)

Newton's Law of Cooling  The temperature of a cup of coffee t min after it is poured is given by the following equation where T is measured in degrees Fahrenheit. T = 65 + 110e−0.053t (a)What was the temperature (in degrees Fahrenheit) of the coffee when it was poured?_________ °F (b)When (in minutes) will the coffee be cool enough to drink (say, 120°F)? (Round your answer to one decimal place.)_______ min

We know from Newton's Law of Cooling that the rate at which an object warms up is proportional to the difference between the ambient temperature of the room and the temperature of the object. The differential equation corresponding to this situation is given by y' = k(M – y) where k is a positive constant. The solution to this equation is given by y = M + (yo – M)e-kt , where yo is the initial temperature of the object. Suppose your Thanksgiving turkey is kept at a temperature of 40 degrees Fahrenheit until it is put into a 350 degree Fahrenheit oven. It takes 2 hours for the turkey to warm up to a safe eating temperature of 165 degrees Fahrenheit. Find the values of yo, M, and k, for this situation, rounding your answers to 3 decimal places. Yo= M = k= Regardless of your answers above, suppose the k value in this situation is k = 0.3. Find the initial rate of increase of the turkey's temperature as soon as it is placed in the oven. Round to 3 decimal places. degrees per hour.

The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x² + y2), where T is measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction 1 °C/m (b) the y-direction Need Help? Read It °C/m Show My Work (optional) W S 3 E D $ 4 R LL % O G F7 A H FA * ( 9 ) O 4x D 7:16 PM 10/3/2022 Backspace

A 6.00-m-long cylinder of solid aluminum has a radius of 3.00 cm. "If the cylinder is initially at a temperature of 7.00 C, how much will the length change when the temperature rises to 40.0°C? (Express your answer to three significant figures.) Submit m Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.) Submit % By what percentage does the volume of the cylinder increase? (Express your answer to three significant figures.) %

When the coefficient of linear expansion, a, and the temperature change, T-T, are large, a length L, of a solid substance expands in length to a(T, -T₂) L₁ = L₁e O L=L[1 + a(Tƒ– T;)]. ○ Ly=al (Ty-T). O L=L[1 + In(a(T₁-T))]. a(T, I₂ = ₁₂₁[ 1 + ª²(²₁-7)].