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If a metal ball is heated to 80C and dropped into water that is held at constant valor of T-20°C, the temperature of the ball changes as in Table Q2 Table Q2: Cooling data of a heated metal ball against time Time, min T.C 44.5 Estimate the rate of cooling for the ball at time, 12 min by using (1) 2-Point forward difference. (i) 0 80 8 30 2-Point backward difference 3-Point central difference. 12 16 24.1 21.7 20 20.7

If a metal ball is heated to 80C and dropped into water that is held at constant valor of T-20°C, the temperature of the ball changes as in Table Q2 Table Q2: Cooling data of a heated metal ball against time Time, min T.C 44.5 Estimate the rate of cooling for the ball at time, 12 min by using (1) 2-Point forward difference. (i) 0 80 8 30 2-Point backward difference 3-Point central difference. 12 16 24.1 21.7 20 20.7

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 (a) The rate of cooling for a body can be expressed as: =-K(T-T₂) dT where T = temperature of the body (°C), T-temperature of the surrounding medium (°C) and K-proportionality constant (min).
Transcribed Image Text:Q2 (a) The rate of cooling for a body can be expressed as: =-K(T-T₂) dT where T = temperature of the body (°C), T-temperature of the surrounding medium (°C) and K-proportionality constant (min).
If a metal ball is heated to 80C and dropped into water that is held at constant valur of T, -20°C, the temperature of the ball changes as in Table Q2. Table Q2: Cooling data of a heated metal ball against time Time, min T.C 0 80 4 44.5 8 30 (iii) 3-Point central difference. 12 16 24.1 21.7 20 20.7 Estimate the rate of cooling for the ball at time, 12 min by using (1) 2-Point forward difference. (ii) 2-Point backward difference.
Transcribed Image Text:If a metal ball is heated to 80C and dropped into water that is held at constant valur of T, -20°C, the temperature of the ball changes as in Table Q2. Table Q2: Cooling data of a heated metal ball against time Time, min T.C 0 80 4 44.5 8 30 (iii) 3-Point central difference. 12 16 24.1 21.7 20 20.7 Estimate the rate of cooling for the ball at time, 12 min by using (1) 2-Point forward difference. (ii) 2-Point backward difference.
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