Doubt in Vectors

1) A wheel with a radius 45 cm rolls without slipping etc. At time t1 a painted pt p is at the bottom of the wheel in contact with the floor. At a time t2, The wheel has rolled thru 1 half revolution.What are
a)Magnitude
b)angle of displacement
of p?

2) A woman walks 250m in the direction 30 degree east of north, 175m directly east. Find
a)Magnitude
b)Angle of
her final displacement?

2 Answers

1
Kalyan Pilla ·

1)
Magnitude of displacement=√[(πr)2+4r2]=r√π2+4
Angle of disp.=tan-12/Ï€

1
Kalyan Pilla ·

2)
Magnitude of disp.=√136875
=369.967m

Angle of disp=tan-1(125√3)/300
=tan-1(5√3)/12

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