A point P on the rim of a wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5m and the wheel rolls forward through half a revolution:

Question

A point P on the rim of a wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5m and the wheel rolls forward through half a revolution: (A) 5 m (B) 10 m (C) 2.5m (D)  5( √2π 2+8 )

Tardigrade Admin · Accepted Answer

Net displacement s=√(π r2)+(2r)2=√(π × 5)2+(2× 5)2 =5√π 2+4

Q. A point P on the rim of a wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5m and the wheel rolls forward through half a revolution:

5 m

10 m

2.5m

$5 (2 π^{2} + 8)$

$5 (π^{2} + 4)$

Net displacement $s = (π r^{2}) + (2 r)^{2} = (π \times 5)^{2} + (2 \times 5)^{2}$
$= 5 π^{2} + 4$

Q. A point P on the rim of a wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5m and the wheel rolls forward through half a revolution:

5 m

10 m

2.5m

5(2π2+8​)

5(π2+4​)

Net displacement s=(πr2)+(2r)2​=(π×5)2+(2×5)2​ =5π2+4​

$5 (2 π^{2} + 8)$

$5 (π^{2} + 4)$

Net displacement $s = (π r^{2}) + (2 r)^{2} = (π \times 5)^{2} + (2 \times 5)^{2}$
$= 5 π^{2} + 4$