Please show work - trying to understand concept Find the magnitude and direction
ID: 1758877 • Letter: P
Question
Please show work - trying to understand conceptFind the magnitude and direction of the vector represented bythe following pairs of components. (a) Ax = -8.90 cm, Ay = 5.50 cm
1 cm
2°
(b) Ax = -9.40 m,Ay = -2.05 m
3 m
4°
(c) Ax = 7.05 km,Ay = -2.35 km
5 km
6° Please show work - trying to understand concept
Find the magnitude and direction of the vector represented bythe following pairs of components. (a) Ax = -8.90 cm, Ay = 5.50 cm
1 cm
2°
(b) Ax = -9.40 m,Ay = -2.05 m
3 m
4°
(c) Ax = 7.05 km,Ay = -2.35 km
5 km
6°
Explanation / Answer
(a) Ax = -8.90 cm, Ay = 5.50 cm Magnitude of vector A = [Ax 2 + Ay 2 ] = 10.462 cm Let the vector A makes an angle with -ve X- axis then tan = A y / Ax = 180 - tan -1 [ A y / A x ] = 180 - 31.75 degrees = 148.28 degrees Since it is in 2nd coordiante system(b) Ax = -9.40 m,Ay = -2.05 m Magnitude of vector A = [Ax 2 + Ay 2 ] = 9.62 cm Let the vector A makes an angle with -ve X- axis then tan = A y / Ax = tan -1 [ A y / A x ] = 180 +12.3 degrees = 192.3 degrees Since it is in 3 rd coordiante
(c) Ax = 7.05 km,Ay = -2.35km
Magnitude of vector A = [Ax 2 + Ay 2 ] = 7.431 cm Let the vector A makes an angle with X- axis then tan = A y / Ax = 360- tan -1 [ A y / A x ] = 360 - 18.43degrees = 341.56 degrees Since it is in 4 th coordiante Magnitude of vector A = [Ax 2 + Ay 2 ] = 9.62 cm Let the vector A makes an angle with -ve X- axis then tan = A y / Ax = tan -1 [ A y / A x ] = 180 +12.3 degrees = 192.3 degrees Since it is in 3 rd coordiante Magnitude of vector A = [Ax 2 + Ay 2 ] = 7.431 cm Let the vector A makes an angle with X- axis then tan = A y / Ax = 360- tan -1 [ A y / A x ] = 360 - 18.43degrees = 341.56 degrees Since it is in 4 th coordiante