Question

A thermometer at 70 degrees is taken outside where the temperature is 30 degrees. After .5 minutes the thermometer reads 50 degrees. what is the thermometer reading after 1 minute. ( answer is 40 degrees). using the information from this problem how many minutes does it take for the thermometer to read 35 degrees? Round answer to the nearest tenth of a minute.

Answer #1

A thermometer is removed from a room where the temperature is
70° F and is taken outside, where the air temperature is 30° F.
After one-half minute the thermometer reads 60° F. What is the
reading of the thermometer at
t = 1 min?
(Round your answer to two decimal places.) ° F
How long will it take for the thermometer to reach 35° F? (Round
your answer to two decimal places.)

A thermometer is removed from a room where the temperature is
70° F and is taken outside, where the air temperature is 20° F.
After one-half minute the thermometer reads 60° F. What is the
reading of the thermometer at t = 1 min? (Round your answer to two
decimal places.)
How long will it take for the thermometer to reach 35° F? (Round
your answer to two decimal places.) min

At 1 p.m., a thermometer reading 80°F is taken outside where the
temperature is constant. At 1:05 p.m., the thermometer reads 35° F
more than the surrounding temperature. Forty minutes after being
taken outside, the thermometer reading differs from the outside
temperature by 15° F. Determine the outside temperature. How long
will it take for the same thermometer to cool from 100° F to 60° F
in air, which is maintained at 50° F? Ans.: 40.5° F, 66.5 min

A thermometer is taken from a room where the temperature is
20C to the outdoors, where the temperature is
−7C. After one minute the thermometer reads
8C.
a) What will the reading on the thermometer be after 3 more
minutes?
b) When will the thermometer read -6C?

(1 point) A thermometer is taken from a room where the
temperature is 20oC to the outdoors, where the temperature is
−12oC. After one minute the thermometer reads 4oC.
(a) What will the reading on the thermometer be after 2 more
minutes?
,
(b) When will the thermometer read −11oC?
minutes after it was taken to the outdoors.

A thermometer is removed from a room where the temperure is 80F
and is
taken outside, where the air temperature is 15F. After 2 minutes
the thermometer
reads 50F. What is the reading of the thermometer at t = 4
mins?

A thermometer is removed from a room where the temperature is
23° C and is taken outside, where the air temperature is −10° C.
After one-half minute the thermometer reads 12° C. What is the
reading of the thermometer at
t = 1 min?
(Round your answer to two decimal places.)
= ° C
How long will it take for the thermometer to reach −8° C? (Round
your answer to two decimal places.)
= min

Suppose that a thermometer is taken from a room that is 14
degrees Celcius and put outside where the
temperature is 6 degrees Celcius.
a) State and solve the differential equation governing the
rate of change of the temperature of the
thermometer with respect to time.
b) After 1 minute the temperature of the thermometer reads 13
degrees Celcius. When will the
thermometer read 8 degrees Celcius?

A thermometer is placed outside. The initial temperature of the
thermometer is 2◦C. After 1 minute, the thermometer reads 5◦C.
After 2 minutes, the thermometer reads 6◦C. What is the temperature
outside? (Hint: Write the DE, solve it, use initial conditions,
find expressions for C, e k and e 2k in terms of the temperature
outside. Relate them and solve for the temperature outside.)

a thermometer reading 9 degrees c is brought into a
room with a constant temperature of 32 degrees c if the thermometer
reads 16 degrees Celsius after 3 minutes what will it read after
being in the room for 5 minutes? for 10 minutes?

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