medicalphysicsguy
New member
- Joined
- Jan 23, 2012
- Messages
- 28
An airplane is flying in the direction 150 degrees with an airspeed of 300 mph, and the wind is blowing at 30mph in the direction 60 degrees. Approximate the true course and the ground speed of the airplane.
I get:
Plane:
u1=300∗cos(π/6)=300∗.866=260
u2=300∗sin(π/6)=300∗21=150
Wind:
v1=30∗cos(π/3)=30∗21=15
v2=30∗sin(π/3)=30∗.866=26
Results:
u1−v1=245
u2−v2=124
Speed=2452+1242=274.6
Angle = .55 rads 148.8 degrees
Book says: 301.5 mph, 144.3 degrees
What is my dumb mistake? I cannot figure it out.
Thanks
mpg
I get:
Plane:
u1=300∗cos(π/6)=300∗.866=260
u2=300∗sin(π/6)=300∗21=150
Wind:
v1=30∗cos(π/3)=30∗21=15
v2=30∗sin(π/3)=30∗.866=26
Results:
u1−v1=245
u2−v2=124
Speed=2452+1242=274.6
Angle = .55 rads 148.8 degrees
Book says: 301.5 mph, 144.3 degrees
What is my dumb mistake? I cannot figure it out.
Thanks
mpg
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