Solve Forces Homework: Sphere Mass 4.7x10-4kg, 32° Angle

[dorkymichelle]

Homework Statement

A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 32° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.

Homework Equations

F= ma

The Attempt at a Solution

What I got so far is tension force in Y axis = gravity
and force of the breeze = tension force in X axis

so Mg = (0.00047)(9.8) = 0.004606
than tan 32 degrees = opp/0.00047
tension in x axis(force of breeze) = 0.00029
Tension = 0.0046

but it's wrong so.. help please?

 

[PhanthomJay]

Homework Statement

A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 32° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.

Homework Equations

F= ma

The Attempt at a Solution

What I got so far is tension force in Y axis = gravity
and force of the breeze = tension force in X axis

so Mg = (0.00047)(9.8) = 0.004606

yes, good, units?

than tan 32 degrees = opp/0.00047

tan 32 = opp/adjacent = x/0.004606

tension in x axis(force of breeze) = 0.00029

that's off by a decimal point, should be 0.0029 (units?). That's the x component of the tension, so what is the push force from the wind? (use Newton 1)

Tension = 0.0046

You have the x and y components of the tension force, so what is the tension force in the cord?

but it's wrong so.. help please?

Welcome to PF!

 

[dorkymichelle]

Thankyou, got it, the extra decimal threw everything off = /