HCI Assignment 02 Answer Scalars and Vectors

Assignment 02: Scalars and Vectors (compiled student answers) Accept 6.1 m s-1 to 6.5 m s-1 Accept 27o to 31o clockwise from 5.5 m s-1 vector Credit: Nathan Wong, 3I2

Alternative solution: Accept 59o to 63o anticlockwise from 3.0 m s -1 vector Accept 6.1 m s-1 to 6.5 m s-1 Credit: Tang Zixuan, 3P3

Accept 35o to 39o anticlockwise from 50.0 kN vector Accept 95 kN to 99 kN Credit: Tang Zixuan, 3P3

Alternative solution: Credit: Ong Jun Xi, 3I4 Accept 26o to 30o clockwise from 65.0 kN vector Accept 95 kN to 99 kN

Credit: Danzel Pang, 3P3 Accept 141o to 145o clockwise from 20.0 N vector Accept 16.8 N to 18.4 N (17 N to 18 N)

Alternative solution: Accept 141o to 145o clockwise from 20.0 N vector Accept 16.8 N to 18.4 N (17 N to 18 N) Credit: Neo Ky-Sheng, 3I2 Accept 95o to 99o anticlockwise from 12.0 N vector  = 95o Credit: Goh Tzu Kye, 3O1

Direction: vertically upward OR 40o clockwise from left 0.180 kN vector R Accept 0.26 kN to 0.29 kN, acting vertically downward Credit: Nigel Chua, 3P3

Credit: Zhang Dinghao, 3O1 Accept 5.0 N to 5.4 N Accept 1.2 N to 1.6 N Credit: Neo Ky-Sheng, 3I2

Accept: 125o to 129o anticlockwise from 1.5 m s-1 vector or from downstream direction Can also get 2.0 m s-1 by measuring resultant velocity from scaled diagram or use √2.52 − 1.52 Credit: Danzel Pang, 3P3 1.0 cm represents 0.50 m s-1 (so that ans are given to 2 s.f. according to qn)

Alternative solution: For scale drawing: Accept: 1.9 m s-1 to 2.1 m s-1 for resultant velocity Accept: 110 s to 130 s (to 2 s.f.) for time taken to cross river 1.0 cm represents 0.50 m s-1 Accept 35o to 39o west of north OR 51o to 55o north of west Credit: Liam Poh, 3I4