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Mathematics 15 Online
zarkam21:

?

zarkam21:

1 attachment
Vocaloid:

efficiency is 1.7% so the actual output power is only 1.7% of 60 power = 1.7% of 60 = energy/time, solve for energy, make sure to convert everything to SI units

zarkam21:

1.02

Vocaloid:

make sure you are solving for energy not just power

zarkam21:

um i divide

Vocaloid:

power = 1.02 W = energy/time solve for energy

zarkam21:

time would be converted into seconds right?

Vocaloid:

yes

zarkam21:

705.9

Vocaloid:

3600 seconds in an hour power = 1.02 = energy/(12*3600) energy = ?

zarkam21:

44064

Vocaloid:

good just going to ask @sillybilly123 if they can confirm something for me - when we're calculating energy used do we take 60W as the power or (1.7 % of 60W) I'm not 100% sure on the actual physics here

zarkam21:

ok

Vocaloid:

I think it's actually just 60W since this represents the actual energy used and 1.7% of the 60W is the non-heat ouput (so light) so I would actually re-do the calculations as power = 60W = energy/time for 2,592,000 J as the total energy (?)

Vocaloid:

anyway, for ii) the CFL bulb, they want light so we will only take 8.5% of 18W as the power so 1.53 W = your answer for ii)

Vocaloid:

for iii) heat energy = total energy - light energy so (100% - 1.7%) of the total power gets converted to heat (100% - 1.7%) * 60W = 58.98W and then 58.98 = energy/time solve for energy, where time = 12 hours

zarkam21:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid I think it's actually just 60W since this represents the actual energy used and 1.7% of the 60W is the non-heat ouput (so light) so I would actually re-do the calculations as power = 60W = energy/time for 2,592,000 J as the total energy (?) \(\color{#0cbb34}{\text{End of Quote}}\)

zarkam21:

this for i

Vocaloid:

yes

zarkam21:

and that's it for i right?

Vocaloid:

yes.

zarkam21:

732.5

zarkam21:

for iii

Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid for iii) heat energy = total energy - light energy so (100% - 1.7%) of the total power gets converted to heat (100% - 1.7%) * 60W = 58.98W and then 58.98 = energy/time solve for energy, where time = 12 hours \(\color{#0cbb34}{\text{End of Quote}}\) check your calculations again

zarkam21:

58.98=e/43200

Vocaloid:

good, keep going

zarkam21:

2546640

Vocaloid:

good, so 2546640J of heat

zarkam21:

thank you so much

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