According to Newtons law of cooling, the time t needed for an object at an initial temperature T 0 to cool to a temperature T in an environment with ambient temperature Ta is given by where k is a constant Assume that for a certain type of container, k 0 025 min1 Let t be the number of minutes needed to cool the container to a temperature of 50 brvbar F Assume that T0 70 1 plusmn 0 2 brvbar F and Ta 35 7 plusmn 0 1 brvbar F Estimate t, and find the uncertainty in the estimate In(T T ) In(T T )

Question: According to Newtons law of cooling, the time t needed for an object at an initial temperature T 0 to cool to a temperature T

According to Newton€™s law of cooling, the time t needed for an object at an initial temperature T₀to cool to a temperature T in an environment with ambient temperature Ta is given by where k is a constant.

Assume that for a certain type of container, k = 0.025 minˆ’1. Let t be the number of minutes needed to cool the container to a temperature of 50—¦F. Assume that T0 = 70.1 ± 0.2—¦F and Ta = 35.7 ± 0.1—¦F. Estimate t, and find the uncertainty in the estimate.

In(T. T.) In(T T.)

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