Question

A clock with metallic pendulum is 5 sec fast every day at a temperature of 20°C and 10 sec slow at a temp of 35°C. Find coefficient of linear expansion.

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Answer #1

The 1.5-m-long brass pendulum of a grandfather clock was
manufactured on a day when the temperature was 27°C. The
coefficient of linear expansion for brass is 19 ? 10?6/°C. (a) What
would the length be if the temperature were to increase to 31.0°C?
(Give your answer to at least 4 decimal places.) m (b) Will the
clock gain or lose time due to the change in length of the
pendulum? gain time lose time neither gain nor lose time

A pendulum clock uses a rock fastened to a very thin steel wire.
This clock is designed so that one "tick" of the clock (one
complete period of the pendulum) is equal to precisely 14.6 s. The
clock is then heated by 11.2°C. Will it now run "fast" or "slow"?
Find the new value of the period of the clock. Assume the thermal
expansion coefficients of the rock are both zero.

3: A simple pendulum with a period of 2 s is used in a clock.
The “negligible” bar connecting the pendulum bob to the pivot is
made of aluminum (α = 2.4x10^-5/◦C)The clock was built to keep
accurate time at 24 ◦C. If the clock is used at an average
temperature of 35 ◦C, what correction is needed after 30 days? It
will be useful to keep every digit you can throughout the
calculation since the differences are quite small....

if the area of an automobile windshield is 60.0cm by
150 cm on a 20°C day, what is the change in area when the
temperature changed from 0°C to 36°C.
The coefficient of linear expansion of glass is 9 ´
10-6/°C

At room temperature (20°C), a thin sheet of aluminum has an area
of 750 cm2cm2 . By how much will the area decrease when the sheet
is placed in a freezer, which is kept at a temperature of -10°C?
The linear thermal expansion coefficient for aluminum is
13×10-6 (°C)-1.

A steel rod 30.0 m long, installed when the temperature was
10°C, is in a bridge that heats up to 40oC on a hot
summer day. Steel's coefficient of linear expansion is 1.2
× 10-5 K-1. The bridge is built so
the rod has an expansion space of 5 cm. Is this enough space? What
is the increase in the length of the rod, in mm?

The table shows global mean temperature (in °C) every five years
beginning in 1950. Find the mathematical model that best fits the
data and use it to predict the global mean temperature in 2015.
Code 1 for 1950, 2 for 1955, and so on.
5 yr mark
1
2
3
4
5
6
7
8
9
10
Temp.
13.8
13.9
14.0
13.9
14.1
14.0
14.3
14.1
14.5
14.5
A. linear model; 14.7°C
B. exponential model; 14.7°C
C. quadratic model; 15.1°C...

A wastewater stream has a 5-day BOD at 20 °C equal to 170 mg/L
and initial BOD equal to 330 mg/L. Find the 15-day BOD at 15 °C.
(Assume temperature coefficient θ = 1.053)

A building made with a steel structure is 582 m high on a winter
day when the temperature is 0◦F. How much taller is the building
when the temperature is 120◦F? The linear expansion coefficient of
steel is 1.1 × 10−5 ( ◦C)−1 . Answer in units of cm.

In a temperature of 15 ° C an iron rod has a length of 5 meters.
What will its length be when the temperature increases to 25 ° C?
Its linear coefficient α = 11.7 x 10-6 / ° C

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