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Convert the following Celsius temperatures to Fahrenheit: (a) -62.8$^\circ$C, the lowest temperature ever recorded in North America (February 3, 1947, Snag, Yukon); (b) 56.7$^\circ$C, the highest temperature ever recorded in the United States (July 10, 1913, Death Valley, California); (c) 31.1$^\circ$C, the world’s highest average annual temperature (Lugh Ferrandi, Somalia).
(a) On January 22, 1943, the temperature in Spearfish, South Dakota, rose from -4.0$^\circ$F to 45.0$^\circ$F in just 2 minutes. What was the temperature change in Celsius degrees? (b) The temperature in Browning, Montana, was 44.0$^\circ$F on January 23, 1916. The next day the temperature plummeted to -56$^\circ$F. What was the temperature change in Celsius degrees?
A wheel is rotating about an axis that is in the $z$-direction.The angular velocity $\omega_z$ is $-$6.00 rad/s at $t =$ 0, increases linearly with time, and is $+$4.00 rad/s at $t =$ 7.00 s. We have taken counterclockwise rotation to be positive. (a) Is the angular acceleration during this time interval positive or negative? (b) During what time interval is the speed of the wheel increasing? Decreasing? (c) What is the angular displacement of the wheel at $t =$ 7.00 s?
An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s. (a) Find the angular acceleration in rev/s$^2$ and the number of revolutions made by the motor in the 4.00-s interval. (b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?